Almost-Hermitian and Hermitian metrics

Daniele Angella

REVIEW 2 major objections 5 minor 299 references

Almost-Hermitian and Hermitian metrics

T0 review · 2 major / 5 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read Deformed Chern scalar curvature yields canonical metrics in Hermitian geometry

desk verdict A lecture-note survey of the author's own Hermitian-curvature program: no new theorems, but the deformed-Yamabe proof is written out fully and the central computation verifies. read the letter →

arxiv 2607.26673 v1 pith:TALCYHDL submitted 2026-07-29 math.DG math.CV

Daniele Angella This is my paper · ORCID

classification math.DGmath.CV MSC 53C5553C2153D2058J05

keywords ChernscalarcurvatureHermitianmetricsYamabeproblemmomentummaplocallyconformallyKählerdeformedvariationalmethodsSobolevinequality

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

These lecture notes argue that the scalar curvature of the Chern connection is not the right quantity to study on its own. The paper builds a one-parameter family of deformed scalar curvatures — Chern scalar curvature plus carefully weighted torsion terms — and shows that two natural problems become tractable for these deformations. First, a twisted momentum-map interpretation holds in locally conformally Kähler geometry, with the deformed curvature as the momentum map. Second, the corresponding deformed Yamabe equation is variational, and a sharp Sobolev bound plus a pointwise curvature condition guarantee existence of a smooth positive minimizer. The upshot is a concrete route to canonical Hermitian metrics in every conformal class, with the classical Riemannian Yamabe problem and the locally conformally Kähler momentum-map problem as endpoints t=2n−1 and t=2n.

What carries the argument

The carrying object is the t-deformed scalar curvature μ_t(ω)=scal^Ch(ω)+(t−n)/(n−1)d*θ+(t−2n)/4|T|². The coefficients are chosen so that under a conformal change ω→e^fω the term linear in ∇f cancels; this makes the deformed Yamabe equation the Euler–Lagrange equation of the deformed Einstein–Hilbert functional, whose energy is bounded below. The proof of existence combines the sharp Sobolev inequality with bubble test functions built from holomorphic normal coordinates; the Taylor expansion of the metric at a point is used to compute the leading correction, and the sign of (t−2n+1)μ_0 decides whether the energy drops below the universal constant tΛ_n.

What would settle it

Compute the t-deformed Yamabe invariant on a compact Hermitian manifold of dimension n≥3 where the pointwise condition (t−2n+1)μ_0(p)>0 holds, and exhibit that it equals tΛ_n (so no minimizer exists). The paper leaves open whether equality can occur, so a single such example would refute the sufficiency claim.

Watch

Extended reading notes

Core claim

The central claim is Theorem 5.8: on a compact complex manifold of dimension n≥3 with Hermitian metric ω and t>0, the t-deformed Yamabe invariant satisfies λ^t_X({ω}) ≤ tΛ_n, where Λ_n is the sharp constant of the Euclidean Sobolev inequality; if the inequality is strict, the t-deformed Yamabe equation has a positive smooth minimizer; and the pointwise condition (t−2n+1)μ_0(ω)(p)>0 at some point p guarantees the strict inequality. Here μ_t(ω)=scal^Ch(ω)+((t−n)/(n−1))d*θ+((t−2n)/4)|T|², built so that its conformal transformation law has no gradient term, making the associated Einstein–Hilbert functional bounded below and variational. The paper also proves the momentum-map theorem 4.2: under t

Load-bearing premise

The momentum-map half of the paper assumes a compact connected Lie group of symmetries of a special Lee-type twisted-Hamiltonian kind; without such a group, the momentum-map picture for locally conformally Kähler manifolds is not established.

Editorial extensions

If this is right

For any compact Kähler manifold of dimension n≥3 and any t>2n−1, there exists a Hermitian metric conformal to the Kähler one with constant t-deformed scalar curvature (Corollary 5.13).
The deformed Yamabe invariant is always bounded above by tΛ_n, a universal constant depending only on dimension and t; this reduces existence questions to establishing a strict inequality.
The momentum-map picture gives a Futaki-type obstruction: if the invariant F(Y) is nonzero, no K-invariant locally conformally Kähler structure can have constant momentum-map curvature.
The constancy of the momentum map, rather than of Chern scalar curvature itself, is proposed as the natural canonical-metric equation in the locally conformally Kähler setting.
The family interpolates between the classical Riemannian Yamabe problem (t=2n−1) and the locally conformally Kähler momentum-map equation (t=2n), so results apply to both settings at once.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the momentum-map theorem extends beyond the assumed Lie-group symmetry, the Futaki-type obstruction would likely yield stability conditions for locally conformally Kähler manifolds analogous to K-stability — a direction the paper itself flags as open.
Because equality λ^t_X({ω})=tΛ_n seems unrealized for n≥3 (the paper notes only CP^1 realizes it), a plausible conjecture is that strict inequality always holds in complex dimension at least 3; testing this on explicit manifolds like Hopf or Calabi-Eckmann would be informative.
The paper's Hirzebruch-surface construction shows the existence result is not limited to locally homogeneous metrics; this suggests cohomogeneity-one ansätze could produce constant deformed scalar curvature metrics on many other ruled manifolds.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

First thing to know: this is lecture notes, not a research paper. It surveys the author's own recent program — three toy problems in Hermitian geometry built around the Chern scalar curvature — and every theorem is attributed to prior work, mostly his own. The author says up front these results won't change the field. Read it as a survey and it's a good one; the reader's conditional verdict is roughly right, though I'd weight the strengths a bit more heavily than the soft spots.

What earns credit: the exposition is careful and complete where it matters. The conformal transformation rules for the Chern scalar curvature, Lee form, and torsion norm are proved in full. Theorem 5.8, the t-deformed Yamabe existence result, gets an eleven-step proof — test bubbles, holomorphic normal coordinates, Taylor expansions, the subcritical bootstrap. I checked the delicate ε² coefficient against the stress-test note; the algebra reduces correctly to (t−2n+1)μ₀(ω)(p), and the argument is internally coherent. Since [APS+26] is still an unpublished preprint, this survey is currently the most complete public write-up of that result. The deformed quantities are genuine definitions with explicit parameters, not inventions: t = 2n−1 recovers the Riemannian Yamabe equation, t = 2n reproduces the momentum-map quantity from Section 4. Also to the author's credit: the scope is stated honestly, the LLM-use disclosure is open, and the heavy self-citation is a fact of the genre, not a derivation loop.

Soft spots, in proportion. Novelty is zero — a consolidation, not news; fine for lecture notes. The real limitation is Section 4.3: the momentum-map theorem assumes a compact, connected Lie group K of Lee type, acting effectively and twisted-Hamiltonian, with V central. Without such K, the advertised momentum-map picture for general locally conformally Kähler manifolds is not established; Vaisman metrics are the model case, not the general case. The assumption is explicit, so it's an honest scope limit, but it is the load-bearing condition in that section. Minor: Remark 3.2 discusses the borderline equality case using CP¹, while Theorem 5.8 is stated for n ≥ 3 — a small dimension mismatch that could confuse a careful reader.

Who this is for: summer-school participants and anyone who wants the Chern-Yamabe, LCK momentum-map, and deformed-Yamabe stories in one place with the key proof written out. It deserves a serious referee. My recommendation: engage, send to peer review, and accept as a survey contribution after minor revisions — flag the K-assumption more prominently and fix the CP¹ remark.

Referee Report

2 major / 5 minor

Summary. The paper is a set of lecture notes surveying three problems in Hermitian geometry centered on the Chern scalar curvature: the Chern-Yamabe problem, the momentum-map interpretation of a deformed Chern scalar curvature in locally conformally Kähler geometry, and the variational theory of t-deformed Yamabe equations. It contains proofs of existence and uniqueness in the non-positive Gauduchon degree case, a conditional momentum-map theorem under a Lie-symmetry assumption, and an Aubin-type existence theorem for the deformed Yamabe problem. The exposition combines PDE, moment-map, and variational methods, with emphasis on the author's prior joint work.

Significance. As a survey, the paper is useful for bringing together three techniques and for presenting the deformed Yamabe generalization with explicit conformal formulas and a pointwise curvature condition. The classical parts are mostly self-contained and the momentum-map computation is coherent under its stated assumptions. However, the sharp Sobolev constant is stated with a wrong exponent, creating an internal inconsistency that directly affects the main existence theorem. The final numerical values of the deformed Yamabe constant appear to be correct, and the overall framework is promising, but the manuscript needs a careful correction of the constant formulas before it can be accepted.

major comments (2)

[Theorem 5.5 and Remark 5.6] The sharp Sobolev inequality in Theorem 5.5 is misstated: the optimal constant for ||u||^2_{L^{2*}} ≤ σ_m ||∇u||^2 is σ_m = 4/(m(m-2)) Vol(S^m)^{-2/m}, not Vol(S^m)^{2/m}. As written, for m=4 the claimed σ_m is 2.565, while the bubble (19) gives ratio ≈0.0975; the equality statement is then false. The same sign error appears in Remark 5.6 ('σ_{2n}=1/(n(n-1))Vol(S^{2n})^{1/n}'). The table values and the final Λ_n=2n Vol^{1/n} are consistent with the corrected negative exponent, so the rest of the proof can be repaired, but Theorem 5.5 and Remark 5.6 must be corrected and checked.
[Theorem 5.7 proof] The displayed computation of ∂_i \tilde{h}_{j\bar{ℓ}} + ∂_j \tilde{h}_{i\bar{ℓ}} is not correct. The derivative of the anti-holomorphic factor \overline{∂z^ℓ/∂w^j} with respect to w_i vanishes, so the term with complex conjugates in the displayed formula should not be present. With C^k_{rs}=1/4(∂_s h_{\bar{k}r}+∂_r h_{\bar{k}s}), the correct second derivative is ∂^2 z^ℓ/∂w_i∂w_j(0)=-2C^ℓ_{ij}=-1/2(∂_i h_{j\bar{ℓ}}+∂_j h_{i\bar{ℓ}}), which cancels the first-order terms and yields (20). As written, the proof does not justify the conclusion; please correct the computation.

minor comments (5)

[Theorem 5.8 statement] Theorem 5.8 is labeled '([Aub76, Heb03])' but the deformed scalar curvature and the torsion-dependent pointwise criterion are from [APS+26]; [Aub76, Heb03] support the method. Please adjust the attribution.
[Section 4.3] The momentum-map theorem is conditional on an assumed compact Lie group K; the text mentions Vaisman metrics as a model case but does not prove existence of such K in general. Please state explicitly in the main text that the momentum-map picture is established only under this extra symmetry, and discuss whether it holds for all Vaisman metrics or only a subclass.
[Theorem 5.8, Step 11] The passage from subcritical minimizers to the critical equation is compressed: the case λ^t_{2*}<0 and the left-continuity of λ^t_s are only implicit. A remark with the standard splitting would improve readability.
[Section 5.1, Eq. (12)] The phrase 'the coefficient of the gradient term' for n-(n-1)a+4b should read 'the coefficient of the first-order drift term g(∇f,θ^♯)'.
[Remark 5.6] The numerical values of Λ_n in the table are correct, but the displayed formula for σ_{2n} must be fixed as indicated in the major comment above.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: Theorem 5.8 and the momentum-map picture are internally derived; self-citations are survey-level, not load-bearing reductions.

full rationale

I examined the central existence theorem (Theorem 5.8). The deformed scalar curvature μ_t is defined in (11) with coefficients chosen so the conformal law (14) has no gradient term; this is a definition, not a fitted prediction. The Euler-Lagrange equivalence (Theorem 5.1) and the lower bound/invariant (17) follow directly from (14)-(16) and Hölder. The bubble computation in Steps 1-10 uses only the sharp Sobolev inequality (Theorem 5.5), holomorphic normal coordinates (Theorem 5.7), and the algebraic identities in Step 8 and Step 10; the strict-inequality criterion is derived from the expansion, not assumed. Step 11 is a standard Aubin-type subcritical argument with explicit estimates. The theorem is credited to [Aub76, Heb03], and the proof is largely self-contained, so [APS+26] is a description source, not a reduction. Section 4's momentum-map theorem is explicitly conditional on the existence of a compact Lee-type twisted-Hamiltonian group K (Section 4.3); this is an honest scope limitation rather than circularity. The proof uses linearization formulas and Weyl-connection computations, with technical lemmas cited from the authors' published [ACPS25]; those citations are not equivalent to assuming the target identity. The Chern-Yamabe results of Section 3 are proven by standard continuity/bifurcation methods and do not reduce to a fit. Overall the lecture notes are a self-survey, but no equation-level prediction is an input by construction.

Assumptions & free parameters 2 free parameters · 5 assumptions · 2 invented entities

The leading assumptions are the standard compact smooth setting, the sharp Sobolev machinery, the extra compact Lie symmetry in the momentum-map part, and the LCK torsion identity. The free parameter t and the coefficient convention shape the deformed problems but are not fitted to data. No physical entities are hypothesized; the invented quantities are mathematical definitions.

free parameters (2)

deformation parameter t
The family μₜ in (11) depends on arbitrary t>0; special values t=2n−1 and t=2n recover the Riemannian scalar curvature and the LCK momentum-map quantity. Coefficients are fixed by killing the g(df,θ) term, not fitted to data.
deformation coefficients a,b = a=(t−n)/(n−1), b=(t−2n)/4
Chosen in Section 5.1 so that the gradient term in the conformal transformation rule vanishes; a convention rather than a datum.

assumptions (5)

domain assumption Compact connected complex manifold, smooth tensors, non-Kähler in general
Section 2.1 states the standing setting; excludes singular and non-compact cases, which the author notes are also interesting.
standard math Sharp Sobolev inequality with optimal constant and bubble functions (Aubin–Talenti)
Theorem 5.5 is the basis for the universal upper bound λ≤tΛₙ and the test-function expansion in Theorem 5.8.
standard math Elliptic regularity tools: Fredholm alternative, maximum principle, Calderón–Zygmund and Schauder estimates
Used in the continuity method (Theorem 3.4) and the subcritical approximation (Theorem 5.8).
ad hoc to paper Existence of a compact Lie group K of Lee-type twisted-Hamiltonian symmetries with central V
Section 4.3; without it the momentum-map theorem (Theorem 4.2) is not available for general LCK manifolds. This is the key extra symmetry assumption.
domain assumption For LCK metrics, |T^Ch|² = 2/(n−1)|θ|²
Used in the proof of Theorem 4.2 to rewrite μ as a function of scalar curvature and Lee-form terms; a standard identity for locally conformally Kähler metrics.

invented entities (2)

t-deformed scalar curvature μₜ
purpose: Defines a family of curvatures interpolating between the Riemannian scalar curvature and the momentum-map quantity; studied via the t-deformed Yamabe equation.
Equation (11); a mathematical definition introduced in Section 5.1 (and [APS+26]) with no independent external handle.
t-deformed Yamabe invariant λᵗ_X({ω})
purpose: Infimum of the deformed Einstein-Hilbert functional; its position relative to tΛₙ controls existence.
Equation (17); a new invariant of the theory, not a physical entity.

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Cite this review

Pith. "Pith review of Almost-Hermitian and Hermitian metrics." pith.science (2026). https://pith.science/paper/TALCYHDL

@misc{pith2026260726673,
  author       = {Pith},
  title        = {Pith review of: Almost-Hermitian and Hermitian metrics},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/TALCYHDL}},
  note         = {Machine review of arXiv:2607.26673}
}

read the original abstract

We describe three problems in Hermitian geometry related to the scalar curvature of the Chern connection, aimed at identifying and constructing canonical metrics. They are chosen as toy examples where different techniques naturally interact: analytic methods for partial differential equations, the notion of momentum map, and variational methods.

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Works this paper leans on

299 extracted references · 116 canonical work pages

[1]

de Bartolomeis, Paolo , Title =. Riv. Mat. Univ. Parma, V. Ser. , ISSN =. 1994 , Language =

1994
[2]

H. Calabi-. 1992 , Publisher =

1992
[3]

and Nirenberg, Louis , Title =

Newlander, A. and Nirenberg, Louis , Title =. Ann. Math. (2) , ISSN =. 1957 , Language =. doi:10.2307/1970051 , zbMATH =

doi:10.2307/1970051 1957
[4]

Schouten, J. A. and van Dantzig, D. , Title =. Math. Ann. , ISSN =. 1930 , Language =. doi:10.1007/BF01455698 , URL =

work page doi:10.1007/bf01455698 1930
[5]

Introduction

Weil, Andr. Introduction. 1958 , Language =

1958
[6]

, Title =

Fubini, G. , Title =. 1904 , Language =

1904
[7]

, Title =

Study, E. , Title =. Math. Ann. , ISSN =. 1905 , Language =. doi:10.1007/BF01457616 , URL =

work page doi:10.1007/bf01457616 1905
[8]

Kodaira, Kunihiko , Title =. Ann. Math. (2) , ISSN =. 1954 , Language =. doi:10.2307/1969701 , zbMATH =

work page doi:10.2307/1969701 1954

Show all 299 references

[9]

2012 , Publisher =

Demailly, Jean-Pierre , Title =. 2012 , Publisher =

2012
[10]

De Bartolomeis, Paolo and Tomassini, Adriano , Title =. Ann. Inst. Fourier , ISSN =. 2013 , Language =. doi:10.5802/aif.2764 , Keywords =

2013 doi
[11]

, Title =

Besse, Arthur L. , Title =. 2008 , Publisher =

2008
[12]

Gauduchon, Paul , title =
[13]

Non-compact

B. Non-compact. J. Am. Math. Soc. , ISSN =. 2023 , Language =. doi:10.1090/jams/1022 , Keywords =

2023 doi
[14]

, Title =

Wang, McKenzie Y. , Title =. Surveys in differential geometry. Vol. VI: Essays on Einstein manifolds. Lectures on geometry and topology, sponsored by Lehigh University's Journal of Differential Geometry , ISBN =. 1999 , Publisher =

1999
[15]

, Title =

Wang, McKenzie Y.-K. , Title =. Differential geometry: Under the influence of S.-S. Chern , ISBN =. 2012 , Publisher =

2012
[16]

New developments in Lie theory and geometry

Lauret, Jorge , Title =. New developments in Lie theory and geometry. Proceedings of the 6th workshop on Lie theory and geometry, Cruz Chica, C\'ordoba, Argentina, November 13--17, 2007 , ISBN =. 2009 , Publisher =

2007
[17]

2021 , HowPublished =

Jablonski, Michael , Title =. 2021 , HowPublished =

2021
[18]

and Pope, C

Page, Don N. and Pope, C. N. , Title =. Classical Quantum Gravity , ISSN =. 1987 , Language =. doi:10.1088/0264-9381/4/2/005 , Keywords =

1987 doi
[19]

A compact rotating gravitational instanton

Page, Don N. A compact rotating gravitational instanton. Phys. Lett. B. 1978. doi:10.1016/0370-2693(78)90231-9

1978 doi
[20]

Sur de nouvelles vari

B. Sur de nouvelles vari. Inst. 1983 , Language =

1983
[21]

, Title =

O'Neill, B. , Title =. Mich. Math. J. , ISSN =. 1966 , Language =. doi:10.1307/mmj/1028999604 , zbMATH =

1966
[22]

Yau, Shing-Tung , Title =. Commun. Pure Appl. Math. , ISSN =. 1978 , Language =. doi:10.1002/cpa.3160310304 , Keywords =

1978 doi
[23]

Aubin, Thierry , Title =. Bull. Sci. Math., II. S. 1978 , Language =

1978
[24]

Chen, Xiuxiong and Donaldson, Simon and Sun, Song , Title =. J. Am. Math. Soc. , ISSN =. 2015 , Language =. doi:10.1090/S0894-0347-2014-00799-2 , Keywords =

2015 doi
[25]

Chen, Xiuxiong and Donaldson, Simon and Sun, Song , Title =. J. Am. Math. Soc. , ISSN =. 2015 , Language =. doi:10.1090/S0894-0347-2014-00800-6 , Keywords =

2015 doi
[26]

Chen, Xiuxiong and Donaldson, Simon and Sun, Song , Title =. J. Am. Math. Soc. , ISSN =. 2015 , Language =. doi:10.1090/S0894-0347-2014-00801-8 , Keywords =

2015 doi
[27]

Tian, Gang , Title =. Commun. Pure Appl. Math. , ISSN =. 2015 , Language =. doi:10.1002/cpa.21578 , Keywords =

2015 doi
[28]

Cao, Huai-Dong , Title =. Invent. Math. , ISSN =. 1985 , Language =. doi:10.1007/BF01389058 , Keywords =

1985 doi
[29]

, Title =

Hamilton, Richard S. , Title =. J. Differ. Geom. , ISSN =. 1982 , Language =. doi:10.4310/jdg/1214436922 , Keywords =

1982
[30]

Osaka Math

Yamabe, Hidehiko , Title =. Osaka Math. J. , ISSN =. 1960 , Language =

1960
[31]

Trudinger, N. S. , Title =. Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. , ISSN =. 1968 , Language =

1968
[32]

Schoen, Richard , Title =. J. Differ. Geom. , ISSN =. 1984 , Language =. doi:10.4310/jdg/1214439291 , Keywords =

1984
[33]

Schoen, Richard and Yau, Shing-Tung , Title =. Commun. Math. Phys. , ISSN =. 1979 , Language =. doi:10.1007/BF01940959 , Keywords =

1979 doi
[35]

Gauduchon, Paul , Title =. Boll. Unione Mat. Ital., VII. Ser., B , ISSN =. 1997 , Language =

1997
[36]

, Title =

Gray, Alfred and Hervella, Luis M. , Title =. Ann. Mat. Pura Appl. (4) , ISSN =. 1980 , Language =. doi:10.1007/BF01796539 , Keywords =

1980 doi
[37]

Balas, Andrew and Gauduchon, Paul , Title =. Math. Z. , ISSN =. 1985 , Language =. doi:10.1007/BF01159161 , Keywords =

1985 doi
[38]

Liu, Kefeng and Yang, Xiaokui , Title =. Trans. Am. Math. Soc. , ISSN =. 2017 , Language =. doi:10.1090/tran/7000 , Keywords =

2017 doi
[39]

Liu, Ke-Feng and Yang, Xiao-Kui , Title =. Int. J. Math. , ISSN =. 2012 , Language =. doi:10.1142/S0129167X12500553 , Keywords =

2012 doi
[40]

, Title =

del Rio, Heberto and Simanca, Santiago R. , Title =. J. Geom. Anal. , ISSN =. 2003 , Language =. doi:10.1007/BF02931004 , Keywords =

2003 doi
[41]

Gauduchon, Paul , Title =. C. R. Acad. Sci., Paris, S. 1977 , Language =

1977
[42]

Gauduchon, Paul , Title =. C. R. Acad. Sci., Paris, S. 1981 , Language =

1981
[43]

Gauduchon, Paul , Title =. Math. Ann. , ISSN =. 1984 , Language =. doi:10.1007/BF01455968 , Keywords =

1984 doi
[44]

Angella, Daniele and Calamai, Simone and Spotti, Cristiano , Title =. Math. Res. Lett. , ISSN =. 2017 , Language =. doi:10.4310/MRL.2017.v24.n3.a3 , Keywords =

2017 doi
[45]

and Ivanov, S

Gauduchon, P. and Ivanov, S. , Title =. Math. Z. , ISSN =. 1997 , Language =. doi:10.1007/PL00004342 , Keywords =

1997 doi
[46]

de Lima, L. L. and Piccione, P. and Zedda, M. , Title =. Ann. Inst. Henri Poincar. 2012 , Language =. doi:10.1016/j.anihpc.2011.10.005 , Keywords =

2012 doi
[47]

Lejmi, Mehdi and Maalaoui, Ali , Title =. J. Geom. Anal. , ISSN =. 2018 , Language =. doi:10.1007/s12220-017-9929-6 , Keywords =

2018 doi
[48]

Calamai, Simone and Zou, Fangyu , Title =. Differ. Geom. Appl. , ISSN =. 2020 , Language =. doi:10.1016/j.difgeo.2020.101612 , Keywords =

2020
[49]

Fusi, Elia , Title =. J. Geom. Anal. , ISSN =. 2022 , Language =. doi:10.1007/s12220-022-00920-4 , Keywords =

2022 doi
[50]

Lejmi, Mehdi and Upmeier, Markus , Title =. Commun. Anal. Geom. , ISSN =. 2020 , Language =. doi:10.4310/CAG.2020.v28.n7.a4 , Keywords =

2020 doi
[51]

Barbaro, Giuseppe , Title =. J. Geom. Anal. , ISSN =. 2023 , Language =. doi:10.1007/s12220-023-01203-2 , Keywords =

2023 doi
[52]

Transform

Angella, Daniele and Calamai, Simone and Pediconi, Francesco and Spotti, Cristiano , title =. Transform. Groups , issn =. 2025 , language =. doi:10.1007/s00031-023-09815-2 , keywords =

2025 doi
[53]

Analysis, complex geometry, and mathematical physics: in honor of Duong H

Tosatti, Valentino , Title =. Analysis, complex geometry, and mathematical physics: in honor of Duong H. Phong. Proceedings of the conference, Columbia University, New York, NY, USA, May 7--11, 2013 , ISBN =. 2015 , Publisher =

2013
[54]

Tosatti, Valentino and Weinkove, Ben , Title =. J. Am. Math. Soc. , ISSN =. 2010 , Language =. doi:10.1090/S0894-0347-2010-00673-X , Keywords =

2010 doi
[55]

Angella, Daniele and Calamai, Simone and Spotti, Cristiano , Title =. Math. Z. , ISSN =. 2020 , Language =. doi:10.1007/s00209-019-02424-4 , Keywords =

2020 doi
[56]

Gauduchon metrics with prescribed volume form , FJournal =

Sz. Gauduchon metrics with prescribed volume form , FJournal =. Acta Math. , ISSN =. 2017 , Language =. doi:10.4310/ACTA.2017.v219.n1.a6 , Keywords =

2017 doi
[57]

Gauduchon, Paul , Title =. C. R. Acad. Sci., Paris, S. 1980 , Language =

1980
[58]

Teleman, Andrei , Title =. Math. Ann. , ISSN =. 2006 , Language =. doi:10.1007/s00208-006-0782-3 , Keywords =

2006 doi
[59]

Yang, Xiaokui , Title =. Trans. Am. Math. Soc. , ISSN =. 2019 , Language =. doi:10.1090/tran/7409 , Keywords =

2019 doi
[60]

Gauduchon, Paul , Title =. Bull. Soc. Math. Fr. , ISSN =. 1977 , Language =. doi:10.24033/bsmf.1846 , Keywords =

1977 doi
[61]

The universal

L. The universal. 2006 , Publisher =. doi:10.1090/memo/0863 , Keywords =

2006 doi
[62]

Bogomolov, F. A. , Title =. 1980 , Language =

1980
[63]

Luebke, Martin , Title =. Math. Ann. , ISSN =. 1982 , Language =. doi:10.1007/BF01475761 , Keywords =

1982 doi
[64]

Kobayashi, Shoshichi , Title =. Proc. Japan Acad., Ser. A , ISSN =. 1982 , Language =. doi:10.3792/pjaa.58.158 , Keywords =

1982 doi
[65]

Stability of

L. Stability of. Manuscr. Math. , ISSN =. 1983 , Language =. doi:10.1007/BF01169586 , Keywords =

1983 doi
[66]

Homogeneous

Podest. Homogeneous. Transform. Groups , ISSN =. 2018 , Language =. doi:10.1007/s00031-017-9450-9 , Keywords =

2018 doi
[67]

, Title =

Boothby, William M. , Title =. Mich. Math. J. , ISSN =. 1958 , Language =. doi:10.1307/mmj/1028998068 , zbMATH =

1958
[68]

and Podest

Alekseevsky, Dmitri V. and Podest. Homogeneous almost-. Math. Z. , ISSN =. 2020 , Language =. doi:10.1007/s00209-019-02446-y , Keywords =

2020 doi
[69]

Angella, Daniele and Pediconi, Francesco , Title =. Proc. R. Soc. Edinb., Sect. A, Math. , ISSN =. 2023 , Language =. doi:10.1017/prm.2022.5 , Keywords =

2023 doi
[70]

The curvature and the integrability of almost-

Apostolov, Vestislav and Dr. The curvature and the integrability of almost-. Symplectic and contact topology: Interactions and perspectives. Papers of the workshop on symplectic and contact topology, quantum cohomology, and symplectic field theory, Montreal and Toronto, Canada...

2001
[71]

Della Vedova, Alberto , Title =. J. Symplectic Geom. , ISSN =. 2019 , Language =. doi:10.4310/JSG.2019.v17.n5.a1 , Keywords =

2019 doi
[72]

2023 , HowPublished =

Barbaro, Giuseppe , Title =. 2023 , HowPublished =

2023
[73]

Complex Manifolds , ISSN =

Barbaro, Giuseppe and Lejmi, Mehdi , Title =. Complex Manifolds , ISSN =. 2023 , Language =. doi:10.1515/coma-2022-0150 , Keywords =

2023 doi
[74]

2024 , HowPublished =

Angella, Daniele and Miceli, Marco and Placini, Giovanni , Title =. 2024 , HowPublished =

2024
[75]

Tian, Gang , Title =. J. Differ. Geom. , ISSN =. 1990 , Language =. doi:10.4310/jdg/1214445039 , Keywords =

1990
[76]

Zelditch, Steve , Title =. Int. Math. Res. Not. , ISSN =. 1998 , Language =. doi:10.1155/S107379289800021X , Keywords =

1998 doi
[77]

Ruan, Wei-Dong , Title =. Commun. Anal. Geom. , ISSN =. 1998 , Language =. doi:10.4310/CAG.1998.v6.n3.a5 , Keywords =

1998 doi
[78]

Balas, Andrew , Title =. Math. Z. , ISSN =. 1985 , Language =. doi:10.1007/BF01175044 , Keywords =

1985 doi
[79]

Sato, Takuji and Sekigawa, Kouei , Title =. Math. Z. , ISSN =. 1990 , Language =. doi:10.1007/BF02571270 , Keywords =

1990 doi
[80]

Compact self-dual

Apostolov, Vestislav and Davidov, Johann and Mu. Compact self-dual. Trans. Am. Math. Soc. , ISSN =. 1996 , Language =. doi:10.1090/S0002-9947-96-01585-1 , Keywords =

1996 doi
[81]

Curvature properties of the

Davidov, Johann and Grantcharov, Gueo and Mu. Curvature properties of the. Rocky Mt. J. Math. , ISSN =. 2009 , Language =. doi:10.1216/RMJ-2009-39-1-27 , Keywords =

2009 doi
[82]

Chen, Haojie and Chen, Lingling and Nie, Xiaolan , Title =. Sci. China, Math. , ISSN =. 2021 , Language =. doi:10.1007/s11425-019-9566-y , Keywords =

2021 doi
[83]

2024 , HowPublished =

Chen, Shuwen and Zheng, Fangyang , Title =. 2024 , HowPublished =

2024
[84]

Chen, Shuwen and Zheng, Fangyang , Title =. J. Geom. Anal. , ISSN =. 2022 , Language =. doi:10.1007/s12220-022-00882-7 , Keywords =

2022 doi
[85]

2025 , HowPublished =

Chen, Shuwen and Zheng, Fangyang , Title =. 2025 , HowPublished =

2025
[86]

Li, Yulu and Zheng, Fangyang , Title =. Proc. Am. Math. Soc. , ISSN =. 2022 , Language =. doi:10.1090/proc/15724 , Keywords =

2022 doi
[87]

Acta Math

Rao, Pei Pei and Zheng, Fang Yang , Title =. Acta Math. Sin., Engl. Ser. , ISSN =. 2022 , Language =. doi:10.1007/s10114-022-1046-1 , Keywords =

2022 doi
[88]

Broder, Kyle and Tang, Kai , Title =. Math. Z. , ISSN =. 2025 , Language =. doi:10.1007/s00209-024-03651-0 , Keywords =

2025 doi
[89]

and Stanfield, James , Title =

Lafuente, Ramiro A. and Stanfield, James , Title =. 2022 , HowPublished =

2022
[90]

Acta Math

Yang, Bo and Zheng, Fang Yang , Title =. Acta Math. Sin., Engl. Ser. , ISSN =. 2018 , Language =. doi:10.1007/s10114-018-7409-y , Keywords =

2018 doi
[91]

Angella, Daniele and Otal, Antonio and Ugarte, Luis and Villacampa, Raquel , Title =. Commun. Anal. Geom. , ISSN =. 2022 , Language =. doi:10.4310/CAG.2022.v30.n5.a2 , Keywords =

2022 doi
[92]

Hawley, N. S. , Title =. Can. J. Math. , ISSN =. 1953 , Language =. doi:10.4153/CJM-1953-007-1 , zbMATH =

1953 doi
[93]

Igusa, Jun-ichi , Title =. Am. J. Math. , ISSN =. 1954 , Language =. doi:10.2307/2372709 , zbMATH =

1954 doi
[94]

Yano, Kentaro and Mogi, Isamu , Title =. Ann. Math. (2) , ISSN =. 1955 , Language =. doi:10.2307/1969627 , zbMATH =

1955 doi
[95]

Goldberg, S. I. and Kobayashi, S. , Title =. J. Differ. Geom. , ISSN =. 1967 , Language =. doi:10.4310/jdg/1214428090 , zbMATH =

1967
[96]

Mori, Shigefumi , Title =. Ann. Math. (2) , ISSN =. 1979 , Language =. doi:10.2307/1971241 , Keywords =

1979 doi
[97]

Siu, Yum-Tong and Yau, Shing-Tung , Title =. Invent. Math. , ISSN =. 1980 , Language =. doi:10.1007/BF01390043 , Keywords =

1980 doi
[98]

, Title =

Frankel, T. , Title =. Pac. J. Math. , ISSN =. 1961 , Language =. doi:10.2140/pjm.1961.11.165 , zbMATH =

1961 doi
[99]

1970 , Publisher =

Hartshorne, Robin , Title =. 1970 , Publisher =. doi:10.1007/BFb0067839 , Keywords =

1970 doi
[100]

Mok, Ngaiming , Title =. J. Differ. Geom. , ISSN =. 1988 , Language =. doi:10.4310/jdg/1214441778 , Keywords =

1988
[101]

Chen, Xiuxiong and Sun, Song and Tian, Gang , Title =. Int. Math. Res. Not. , ISSN =. 2009 , Language =. doi:10.1093/imrp/rnp056 , Keywords =

2009 doi
[102]

Chen, X. X. , Title =. Adv. Math. , ISSN =. 2007 , Language =. doi:10.1016/j.aim.2006.11.006 , Keywords =

2007 doi
[103]

Ustinovskiy, Yury , Title =. Am. J. Math. , ISSN =. 2019 , Language =. doi:10.1353/ajm.2019.0046 , Keywords =

2019
[104]

Ustinovskiy, Yury , Title =. Trans. Am. Math. Soc. , ISSN =. 2020 , Language =. doi:10.1090/tran/8101 , Keywords =

2020 doi
[105]

Streets, Jeffrey and Tian, Gang , Title =. J. Eur. Math. Soc. (JEMS) , ISSN =. 2011 , Language =. doi:10.4171/JEMS/262 , Keywords =

2011 doi
[106]

1963 , Publisher =

Kobayashi, Shoshichi and Nomizu, Katsumi , Title =. 1963 , Publisher =

1963
[107]

1969 , Publisher =

Kobayashi, Shoshichi and Nomizu, Katsumi , Title =. 1969 , Publisher =

1969
[108]

Chen, Haojie and Nie, Xiaolan , Title =. Math. Z. , ISSN =. 2022 , Language =. doi:10.1007/s00209-022-03125-1 , Keywords =

2022 doi
[109]

Barbaro, Giuseppe , Title =. J. Geom. Phys. , ISSN =. 2021 , Language =. doi:10.1016/j.geomphys.2021.104323 , Keywords =

2021
[110]

Yu, Weike , TITLE =. J. Funct. Anal. , FJOURNAL =. 2023 , NUMBER =. doi:10.1016/j.jfa.2023.109948 , URL =

2023
[111]

Manuscripta Math

Yu, Weike , TITLE =. Manuscripta Math. , FJOURNAL =. 2025 , NUMBER =. doi:10.1007/s00229-025-01673-4 , URL =

2025 doi
[112]

Chen, Xiuxiong and Cheng, Jingrui , Title =. J. Am. Math. Soc. , ISSN =. 2021 , Language =. doi:10.1090/jams/967 , Keywords =

2021 doi
[113]

Chen, Xiuxiong and Cheng, Jingrui , Title =. J. Am. Math. Soc. , ISSN =. 2021 , Language =. doi:10.1090/jams/966 , Keywords =

2021 doi
[114]

Sugaku Expo

Fujiki, Akira , Title =. Sugaku Expo. , ISSN =. 1990 , Language =

1990
[115]

, title =

Donaldson, Simon K. , title =. Fields Medallists' Lectures , editor =. 1997 , publisher =

1997
[116]

1982 , Language =

Calabi, Eugenio , Title =. 1982 , Language =

1982
[117]

An introduction to extremal

Sz. An introduction to extremal. 2014 , Publisher =

2014
[118]

Tosatti, Valentino and Weinkove, Ben , Title =. J. Differ. Geom. , ISSN =. 2015 , Language =. doi:10.4310/jdg/1418345539 , Keywords =

2015
[119]

Gill, Matt , Title =. Commun. Anal. Geom. , ISSN =. 2011 , Language =. doi:10.4310/CAG.2011.v19.n2.a2 , Keywords =

2011 doi
[120]

Picard, S. Calabi-. Complex non-K\"ahler geometry. Cetraro, Italy, July 9--13, 2018. Lecture notes given at the summer school , ISBN =. 2019 , Publisher =. doi:10.1007/978-3-030-25883-2_2 , Keywords =

2018 doi
[121]

and Picard, Sebastien and Zhang, Xiangwen , Title =

Phong, Duong H. and Picard, Sebastien and Zhang, Xiangwen , Title =. Math. Z. , ISSN =. 2018 , Language =. doi:10.1007/s00209-017-1879-y , Keywords =

2018 doi
[122]

and Picard, Sebastien and Zhang, Xiangwen , Title =

Phong, Duong H. and Picard, Sebastien and Zhang, Xiangwen , Title =. Commun. Anal. Geom. , ISSN =. 2018 , Language =. doi:10.4310/CAG.2018.v26.n4.a9 , Keywords =

2018 doi
[123]

Atti Accad

Tosatti, Valentino and Weinkove, Ben , Title =. Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. , ISSN =. 2022 , Language =. doi:10.4171/RLM/965 , Keywords =

2022 doi
[124]

Tosatti, Valentino and Weinkove, Ben , Title =. Compos. Math. , ISSN =. 2013 , Language =. doi:10.1112/S0010437X13007471 , Keywords =

2013 doi
[125]

Tosatti, Valentino and Weinkove, Ben and Yang, Xiaokui , Title =. Math. Ann. , ISSN =. 2015 , Language =. doi:10.1007/s00208-014-1160-1 , Keywords =

2015 doi
[126]

and Hulek, Klaus and Peters, Chris A

Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and Van de Ven, Antonius , Title =. 2004 , Publisher =

2004
[127]

Courants k

Lamari, Ahc. Courants k. Ann. Inst. Fourier , ISSN =. 1999 , Language =. doi:10.5802/aif.1673 , Keywords =

1999 doi
[128]

Buchdahl, Nicholas , Title =. Ann. Inst. Fourier , ISSN =. 1999 , Language =. doi:10.5802/aif.1674 , Keywords =

1999 doi
[129]

Br. Neron-. Manuscr. Math. , ISSN =. 1994 , Language =. doi:10.1007/BF02567466 , Keywords =

1994 doi
[130]

Holomorphic vector bundles over compact complex surfaces , FSeries =

Br. Holomorphic vector bundles over compact complex surfaces , FSeries =. 1996 , Publisher =. doi:10.1007/BFb0093696 , Keywords =

1996 doi
[131]

Griffiths, P. A. , Title =. 1969 , Language =

1969
[132]

Geometry and quantization

Garcia-Fernandez, Mario , Title =. Geometry and quantization. Lectures presented at the 6th school GEOQUANT, ICMAT, Madrid, Spain, September 7--18, 2015 , ISBN =. 2016 , Publisher =

2015
[133]

Superstrings with Torsion

Strominger, Andrew. Superstrings with Torsion. Nucl. Phys. B. 1986. doi:10.1016/0550-3213(86)90286-5

1986 doi
[134]

2014 , Publisher =

Angella, Daniele , Title =. 2014 , Publisher =. doi:10.1007/978-3-319-02441-7 , Keywords =

2014 doi
[135]

Stelzig, Jonas , Title =. J. Lond. Math. Soc., II. Ser. , ISSN =. 2021 , Language =. doi:10.1112/jlms.12453 , Keywords =

2021 doi
[136]

Stelzig, Jonas , Title =. Adv. Math. , ISSN =. 2022 , Language =. doi:10.1016/j.aim.2022.108560 , Keywords =

2022
[137]

Stelzig, Jonas , Title =. Adv. Math. , ISSN =. 2025 , Language =. doi:10.1016/j.aim.2024.110038 , Keywords =

2025
[138]

and Horowitz, Gary T

Candelas, P. and Horowitz, Gary T. and Strominger, Andrew and Witten, Edward. Vacuum configurations for superstrings. Nucl. Phys. B. 1985. doi:10.1016/0550-3213(85)90602-9

1985 doi
[139]

Generalised Geometry and Superstring Theory

Schettini Gherardini, Tancredi. Generalised Geometry and Superstring Theory. Physica A. 2021

2021
[140]

Fortschr

Alawadhi, Rashid and Angella, Daniele and Leonardo, Andrea and Schettini Gherardini, Tancredi , Title =. Fortschr. Phys. , ISSN =. 2024 , Language =. doi:10.1002/prop.202300262 , Keywords =

2024 doi
[141]

2021 , Publisher =

He, Yang-Hui , Title =. 2021 , Publisher =. doi:10.1007/978-3-030-77562-9 , Keywords =

2021 doi
[142]

Otal, Antonio and Ugarte, Luis and Villacampa, Raquel , Title =. Nucl. Phys., B , ISSN =. 2017 , Language =. doi:10.1016/j.nuclphysb.2017.04.021 , Keywords =

2017 doi
[143]

Hull, C. M. Superstring compactifications with torsion and space-time supersymmetry. First Torino Meeting on Superunification and Extra Dimensions. 1986

1986
[144]

2023 , HowPublished =

Hirst, Edward and Schettini Gherardini, Tancredi , Title =. 2023 , HowPublished =. doi:10.1103/PhysRevD.109.106006 , URL =

2023 doi
[145]

Douglas, M. R. The statistics of string/M-theory vacua. 2nd String Phenomenology 2003. 2003

2003
[146]

Fern. Non-. J. High Energy Phys. , ISSN =. 2014 , Language =. doi:10.1007/JHEP06(2014)073 , Keywords =

2014 doi
[147]

Heterotic supersymmetry, anomaly cancellation and equations of motion

Ivanov, Stefan. Heterotic supersymmetry, anomaly cancellation and equations of motion. Phys. Lett. B. 2010. doi:10.1016/j.physletb.2010.01.050. arXiv:0908.2927

2010 arXiv
[148]

and Martelli, Dario and Waldram, Daniel

Gauntlett, Jerome P. and Martelli, Dario and Waldram, Daniel. Superstrings with intrinsic torsion. Phys. Rev. D. 2004. doi:10.1103/PhysRevD.69.086002. arXiv:hep-th/0302158

2004 arXiv
[149]

Li, Jun and Yau, Shingtung , Title =. J. Differ. Geom. , ISSN =. 2005 , Language =. doi:10.4310/jdg/1143572017 , Keywords =

2005
[150]

Bismut, Jean-Michel , Title =. Math. Ann. , ISSN =. 1989 , Language =. doi:10.1007/BF01443359 , Keywords =

1989 doi
[151]

Gray, Alfred , Title =. T. 1976 , Language =. doi:10.2748/tmj/1178240746 , Keywords =

1976
[152]

Yang, Bo and Zheng, Fangyang , Title =. Commun. Anal. Geom. , ISSN =. 2018 , Language =. doi:10.4310/CAG.2018.v26.n5.a7 , Keywords =

2018 doi
[153]

Michelsohn, M. L. , Title =. Acta Math. , ISSN =. 1982 , Language =. doi:10.1007/BF02392356 , Keywords =

1982 doi
[154]

Complex analysis and geometry

Alessandrini, Lucia and Bassanelli, Giovanni , Title =. Complex analysis and geometry. Proceedings of the conference held in Trento, Italy, June 5-9, 1995 , ISBN =. 1996 , Publisher =

1995
[155]

2024 , Publisher =

Ornea , Liviu and Verbitsky, Misha , Title =. 2024 , Publisher =. doi:10.1007/978-3-031-58120-5 , Keywords =

2024 doi
[156]

Popovici, Dan , Title =. Bull. Soc. Math. Fr. , ISSN =. 2015 , Language =

2015
[157]

2023 , note =

Popovici, Dan , title =. 2023 , note =

2023
[158]

2017 , Publisher =

Guedj, Vincent and Zeriahi, Ahmed , Title =. 2017 , Publisher =. doi:10.4171/167 , Keywords =

2017 doi
[159]

, Title =

Angella, Daniele and Guedj, Vincent and Lu, Chinh H. , Title =. Trans. Am. Math. Soc. , ISSN =. 2023 , Language =. doi:10.1090/tran/8916 , Keywords =

2023 doi
[160]

2021 , HowPublished =

Guedj, Vincent and Lu, Chinh Hoang , Title =. 2021 , HowPublished =

2021
[161]

, Title =

Guedj, Vincent and Lu, Chinh H. , Title =. Algebr. Geom. , ISSN =. 2022 , Language =. doi:10.14231/AG-2022-021 , Keywords =

2022 doi
[162]

, Title =

Guedj, Vincent and Lu, Chinh H. , Title =. J. Reine Angew. Math. , ISSN =. 2023 , Language =. doi:10.1515/crelle-2023-0030 , Keywords =

2023 doi
[163]

Inoue, Masahisa , Title =. Invent. Math. , ISSN =. 1974 , Language =. doi:10.1007/BF01425563 , Keywords =

1974 doi
[164]

Li, Jun and Yau, Shing Tung and Zheng, Fangyang , Title =. Ill. J. Math. , ISSN =. 1990 , Language =

1990
[165]

Teleman, Andrei-Dumitru , Title =. Int. J. Math. , ISSN =. 1994 , Language =. doi:10.1142/S0129167X94000152 , Keywords =

1994 doi
[166]

, Title =

Kato, Ma. , Title =. 1977 , Language =

1977
[167]

1975 , Language =

Inoue, Masahisa , Title =. 1975 , Language =

1975
[168]

, Title =

Inoue, M. , Title =. 1977 , Language =

1977
[169]

Sugaku Expo

Nakamura, Iku , Title =. Sugaku Expo. , ISSN =. 1984 , Language =

1984
[170]

Dloussky, Georges and Oeljeklaus, Karl , Title =. Ann. Inst. Fourier , ISSN =. 1999 , Language =. doi:10.5802/aif.1728 , Keywords =

1999 doi
[171]

Dloussky, Georges and Oeljeklaus, Karl and Toma, Matei , Title =. T. 2003 , Language =. doi:10.2748/tmj/1113246942 , Keywords =

2003
[172]

Lauret, Jorge , Title =. Trans. Am. Math. Soc. , ISSN =. 2015 , Language =. doi:10.1090/S0002-9947-2014-06476-3 , Keywords =

2015 doi
[173]

Lauret, Jorge and Valencia, Edwin Alejandro Rodr. On the. Math. Nachr. , ISSN =. 2015 , Language =. doi:10.1002/mana.201300333 , Keywords =

2015 doi
[174]

Fang, Shouwen and Tosatti, Valentino and Weinkove, Ben and Zheng, Tao , Title =. J. Funct. Anal. , ISSN =. 2016 , Language =. doi:10.1016/j.jfa.2016.08.013 , Keywords =

2016 doi
[175]

Edwards, Gregory , Title =. Math. Z. , ISSN =. 2021 , Language =. doi:10.1007/s00209-021-02735-5 , Keywords =

2021 doi
[176]

Angella, Daniele and Tosatti, Valentino , Title =. J. Funct. Anal. , ISSN =. 2023 , Language =. doi:10.1016/j.jfa.2023.110015 , Keywords =

2023
[177]

Tricerri, Franco , Title =. Rend. Semin. Mat., Torino , ISSN =. 1982 , Language =

1982
[178]

1975 , Publisher =

Auslander, Louis and Tolimieri, Richard , Title =. 1975 , Publisher =

1975
[179]

and Singhof, W

Deninger, Ch. and Singhof, W. , Title =. Invent. Math. , ISSN =. 1984 , Language =. doi:10.1007/BF01388716 , Keywords =

1984 doi
[180]

, Title =

Richardson, Leonard F. , Title =. Trans. Am. Math. Soc. , ISSN =. 1982 , Language =. doi:10.2307/1999207 , Keywords =

1982 doi
[181]

Holt, Tom and Zhang, Weiyi , Title =. Math. Res. Lett. , ISSN =. 2022 , Language =. doi:10.4310/MRL.2022.v29.n6.a3 , Keywords =

2022 doi
[182]

Holt, Tom and Zhang, Weiyi , Title =. Adv. Math. , ISSN =. 2022 , Language =. doi:10.1016/j.aim.2022.108277 , Keywords =

2022
[183]

Gauge theory and low-dimensional topology

Ruberman, Daniel and Saveliev, Nikolai , Title =. Gauge theory and low-dimensional topology. Progress and interaction. Proceedings of the sixth Banff International Research Station, BIRS, workshop on Interactions of gauge theory with contact and symplectic topology in dimensio...

2020 doi
[184]

On the history of the

Agricola, Ilka and Bazzoni, Giovanni and Goertsches, Oliver and Konstantis, Panagiotis and Rollenske, S. On the history of the. Differ. Geom. Appl. , ISSN =. 2018 , Language =. doi:10.1016/j.difgeo.2017.10.014 , Keywords =

2018 doi
[185]

K. Abh. Math. Semin. Univ. Hamb. , ISSN =. 1932 , Language =. doi:10.1007/BF02940642 , zbMATH =

1932 doi
[186]

Bombieri , title =

E. Bombieri , title =
[187]

2025 , eprint=

Calabi-Yau threefolds across quadratic singularities , author=. 2025 , eprint=

2025
[188]

On the minimal sum of

Albanese, Michael and Milivojevi. On the minimal sum of. Differ. Geom. Appl. , ISSN =. 2019 , Language =. doi:10.1016/j.difgeo.2018.10.002 , Keywords =

2019 doi
[189]

Angella, Daniele and Pediconi, Francesco , Title =. Riv. Mat. Univ. Parma (N.S.) , ISSN =. 2022 , Language =

2022
[190]

Streets, Jeffrey and Tian, Gang , Title =. Int. Math. Res. Not. , ISSN =. 2010 , Language =. doi:10.1093/imrn/rnp237 , Keywords =

2010 doi
[191]

Streets, Jeffrey and Tian, Gang , Title =. Nucl. Phys., B , ISSN =. 2012 , Language =. doi:10.1016/j.nuclphysb.2012.01.008 , Keywords =

2012 doi
[192]

Geometric analysis

Streets, Jeffrey , Title =. Geometric analysis. In honor of Gang Tian's 60th birthday , ISBN =. 2020 , Publisher =. doi:10.1007/978-3-030-34953-0_19 , Keywords =

2020 doi
[193]

Garcia-Fernandez, Mario and Jordan, Joshua and Streets, Jeffrey , Title =. J. Math. Pures Appl. (9) , ISSN =. 2023 , Language =. doi:10.1016/j.matpur.2023.07.002 , Keywords =

2023 doi
[194]

2021 , Publisher =

Garcia-Fernandez, Mario and Streets, Jeffrey , Title =. 2021 , Publisher =. doi:10.1090/ulect/076 , Keywords =

2021 doi
[195]

2024 , HowPublished =

Apostolov, Vestislav and Barbaro, Giuseppe and Lee, Kuan-Hui and Streets, Jeffrey , Title =. 2024 , HowPublished =

2024
[196]

2025 , howpublished =

Zhang, Dongmei and Zheng, Fangyang , title =. 2025 , howpublished =

2025
[197]

, title =

Aeppli, A. , title =. 1965 , language =

1965
[198]

Acta Math

Bott, Raoul and Chern, Shiing-shen , title =. Acta Math. , issn =. 1965 , language =. doi:10.1007/BF02391818 , zbMATH =

1965 doi
[199]

Proceedings of the 10th International Congress on Mathematical Education (ICME-10) , editor =

Skovsmose,Ole and Niss, Mogens , title =. Proceedings of the 10th International Congress on Mathematical Education (ICME-10) , editor =. 2008 , publisher =

2008
[200]

2025 , eprint=

Differential forms and invariants of complex manifolds , author=. 2025 , eprint=

2025
[201]

2001 , publisher =

McCleary, John , title =. 2001 , publisher =

2001
[202]

Relations between the cohomology groups of

Fr. Relations between the cohomology groups of. Proc. Natl. Acad. Sci. USA , issn =. 1955 , language =. doi:10.1073/pnas.41.9.641 , url =

1955 doi
[203]

Deligne, Pierre and Griffiths, Phillip and Morgan, John and Sullivan, Dennis , title =. Invent. Math. , issn =. 1975 , language =. doi:10.1007/BF01389853 , keywords =

1975 doi
[204]

Wells, Raymond O. jun. , title =. 2008 , publisher =. doi:10.1007/978-0-387-73892-5 , keywords =

2008 doi
[205]

Hodge, W. V. D. , title =. 1989 , publisher =

1989
[206]

Kodaira, Kunihiko and Spencer, D. C. , title =. Ann. Math. (2) , issn =. 1960 , language =. doi:10.2307/1969879 , zbMATH =

1960 doi
[207]

2007 , howpublished =

Schweitzer, Michel , title =. 2007 , howpublished =

2007
[208]

2012 , note =

Jean-Pierre Demailly , title =. 2012 , note =

2012
[209]

2005 , publisher =

Huybrechts, Daniel , title =. 2005 , publisher =. doi:10.1007/b137952 , keywords =

2005 doi
[210]

1994 , publisher =

Griffiths, Phillip and Harris, Joseph , title =. 1994 , publisher =

1994
[211]

2007 , publisher =

Voisin, Claire , title =. 2007 , publisher =

2007
[212]

2002 , publisher =

Voisin, Claire , title =. 2002 , publisher =

2002
[213]

2006 , publisher =

Morrow, James and Kodaira, Kunihiko , title =. 2006 , publisher =

2006
[214]

2000 , publisher =

Zheng, Fangyang , title =. 2000 , publisher =

2000
[215]

2005 , publisher =

Kodaira, Kunihiko , title =. 2005 , publisher =

2005
[216]

, title =

Lee, John M. , title =. 2024 , publisher =. doi:10.1090/gsm/244 , keywords =

2024 doi
[217]

2007 , publisher =

Ma, Xiaonan and Marinescu, George , title =. 2007 , publisher =

2007
[218]

Introduction to

Bertin, Jos. Introduction to. 2002 , publisher =

2002
[219]

Complex Manifolds , issn =

Stelzig, Jonas , title =. Complex Manifolds , issn =. 2025 , language =. doi:10.1515/coma-2025-0011 , keywords =

2025 doi
[220]

Kirchhoff, Adrian , title =. C. R. Acad. Sci., Paris , issn =. 1947 , language =

1947
[221]

Konstantis, Panagiotis and Parton, Maurizio , title =. Differ. Geom. Appl. , issn =. 2018 , language =. doi:10.1016/j.difgeo.2017.10.010 , keywords =

2018 doi
[222]

Ferreira, Ana Cristina , title =. Differ. Geom. Appl. , issn =. 2018 , language =. doi:10.1016/j.difgeo.2017.10.013 , keywords =

2018 doi
[223]

Recherche de structures analytiques complexes sur certaines vari

Blanchard, Andr. Recherche de structures analytiques complexes sur certaines vari. C. R. Acad. Sci., Paris , issn =. 1953 , language =

1953
[224]

LeBrun, Claude , title =. Proc. Am. Math. Soc. , issn =. 1987 , language =. doi:10.2307/2046564 , keywords =

1987 doi
[225]

Borel, Armand and Serre, Jean-Pierre , title =. Am. J. Math. , issn =. 1953 , language =. doi:10.2307/2372495 , zbMATH =

1953 doi
[226]

SIGMA, Symmetry Integrability Geom

Khovanov, Mikhail and Qi, You , title =. SIGMA, Symmetry Integrability Geom. Methods Appl. , issn =. 2020 , language =. doi:10.3842/SIGMA.2020.019 , keywords =

2020 doi
[227]

Angella, Daniele , title =. Differ. Geom. Appl. , issn =. 2018 , language =. doi:10.1016/j.difgeo.2017.10.012 , keywords =

2018 doi
[228]

Ugarte, Luis , title =. Geom. Dedicata , issn =. 2000 , language =. doi:10.1023/A:1005236308351 , keywords =

2000 doi
[229]

Angella, Daniele and Tomassini, Adriano , title =. Invent. Math. , issn =. 2013 , language =. doi:10.1007/s00222-012-0406-3 , keywords =

2013 doi
[230]

, title =

Varouchas, J. , title =. 1986 , language =

1986
[231]

Angella, Daniele and Tardini, Nicoletta , title =. Proc. Am. Math. Soc. , issn =. 2017 , language =. doi:10.1090/proc/13209 , keywords =

2017 doi
[232]

Angella, Daniele and Tomassini, Adriano , title =. J. Geom. Phys. , issn =. 2015 , language =. doi:10.1016/j.geomphys.2015.03.004 , keywords =

2015 doi
[233]

and Fino, A

Console, S. and Fino, A. , title =. Transform. Groups , issn =. 2001 , language =. doi:10.1007/BF01597131 , keywords =

2001 doi
[234]

Nomizu, Katsumi , title =. Ann. Math. (2) , issn =. 1954 , language =. doi:10.2307/1969716 , zbMATH =

1954 doi
[235]

Dolbeault cohomology of nilmanifolds with left-invariant complex structure , booktitle =

Rollenske, S. Dolbeault cohomology of nilmanifolds with left-invariant complex structure , booktitle =. 2011 , publisher =. doi:10.1007/978-3-642-20300-8_18 , keywords =

2011 doi
[236]

Angella, Daniele and Kasuya, Hisashi , title =. Ann. Global Anal. Geom. , issn =. 2017 , language =. doi:10.1007/s10455-017-9560-6 , keywords =

2017 doi
[237]

Kasuya, Hisashi , title =. Math. Z. , issn =. 2013 , language =. doi:10.1007/s00209-012-1013-0 , keywords =

2013 doi
[238]

Hattori, Akio , title =. J. Fac. Sci., Univ. Tokyo, Sect. I , issn =. 1960 , language =

1960
[239]

Sullivan, Dennis , title =. Publ. Math., Inst. Hautes. 1977 , language =. doi:10.1007/BF02684341 , keywords =

1977 doi
[240]

and Fino, A

Console, S. and Fino, A. and Kasuya, H. , title =. Transform. Groups , issn =. 2016 , language =. doi:10.1007/s00031-016-9397-2 , keywords =

2016 doi
[241]

De Bartolomeis, Paolo and Tomassini, Adriano , title =. Ann. Inst. Fourier , issn =. 2006 , language =. doi:10.5802/aif.2213 , keywords =

2006 doi
[242]

Electron

Guan, Daniel , title =. Electron. Res. Announc. Am. Math. Soc. , issn =. 2007 , language =. doi:10.1090/S1079-6762-07-00176-X , keywords =

2007 doi
[243]

Console, Sergio and Fino, Anna , title =. Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) , issn =. 2011 , language =. doi:10.2422/2036-2145.2011.4.02 , keywords =

2011
[244]

Angella, Daniele , title =. J. Geom. Anal. , issn =. 2013 , language =. doi:10.1007/s12220-011-9291-z , keywords =

2013 doi
[245]

Nakamura, Iku , title =. J. Differ. Geom. , issn =. 1975 , language =. doi:10.4310/jdg/1214432677 , keywords =

1975
[246]

Kadeishvili, T. V. , title =. Russ. Math. Surv. , issn =. 1980 , language =. doi:10.1070/RM1980v035n03ABEH001842 , keywords =

1980 doi
[247]

Stasheff, James Dillon , title =. Trans. Am. Math. Soc. , issn =. 1963 , language =. doi:10.2307/1993608 , keywords =

1963 doi
[248]

and Palmieri, J

Lu, D.-M. and Palmieri, J. H. and Wu, Q.-S. and Zhang, J. J. , title =. J. Pure Appl. Algebra , issn =. 2009 , language =. doi:10.1016/j.jpaa.2009.02.006 , keywords =

2009 doi
[249]

Mediterr

Buijs, Urtzi and Moreno-Fern. Mediterr. J. Math. , issn =. 2020 , language =. doi:10.1007/s00009-019-1464-1 , keywords =

2020 doi
[250]

Complex Manifolds , issn =

Cirici, Joana and Garrido-Vilallave, Roger and Sopena-Gilboy, Anna , title =. Complex Manifolds , issn =. 2025 , language =. doi:10.1515/coma-2025-0012 , keywords =

2025 doi
[251]

, title =

Poirier, Kate and Tradler, Thomas and Wilson, Scott O. , title =. 2025 , howpublished =

2025
[252]

Positselski, Leonid , title =. J. Algebra , issn =. 2017 , language =. doi:10.1016/j.jalgebra.2017.03.022 , keywords =

2017 doi
[253]

Hasegawa, Keizo , title =. Proc. Am. Math. Soc. , issn =. 1989 , language =. doi:10.2307/2047375 , keywords =

1989 doi
[254]

and Fern

Cordero, Luis A. and Fern. Symplectic manifolds with no. Topology , issn =. 1986 , language =. doi:10.1016/0040-9383(86)90050-9 , keywords =

1986 doi
[255]

, title =

Benson, Chal and Gordon, Carolyn S. , title =. Topology , issn =. 1988 , language =. doi:10.1016/0040-9383(88)90029-8 , keywords =

1988 doi
[256]

Tardini, Nicoletta and Tomassini, Adriano , title =. Ann. Mat. Pura Appl. (4) , issn =. 2017 , language =. doi:10.1007/s10231-016-0575-6 , keywords =

2017 doi
[257]

Complex Manifolds , issn =

Angella, Daniele and Suwa, Tatsuo and Tardini, Nicoletta and Tomassini, Adriano , title =. Complex Manifolds , issn =. 2020 , language =. doi:10.1515/coma-2020-0103 , keywords =

2020 doi
[258]

Rao, Sheng and Yang, Song and Yang, Xiangdong , title =. J. Math. Pures Appl. (9) , issn =. 2019 , language =. doi:10.1016/j.matpur.2019.01.016 , keywords =

2019 doi
[259]

Mo. On. Izv. Akad. Nauk SSSR, Ser. Mat. , issn =. 1966 , language =

1966
[260]

Fujiki, Akira , title =. Invent. Math. , issn =. 1978 , language =. doi:10.1007/BF01403162 , keywords =

1978 doi
[261]

2006 , PAGES =

Wu, Chun-Chun , TITLE =. 2006 , PAGES =

2006
[262]

North-West

Angella, Daniele and Kasuya, Hisashi , title =. North-West. Eur. J. Math. , issn =. 2017 , language =

2017
[263]

2025 , eprint=

L^2 Fr\"olicher inequalities , author=. 2025 , eprint=

2025
[264]

2025 , howpublished =

Angella, Daniele , title =. 2025 , howpublished =

2025
[265]

Complex non-K\"ahler geometry

Teleman, Andrei , title =. Complex non-K\"ahler geometry. Cetraro, Italy, July 9--13, 2018. Lecture notes given at the summer school , isbn =. 2019 , publisher =. doi:10.1007/978-3-030-25883-2_3 , keywords =

2018 doi
[266]

1975 , publisher =

Ueno, Kenji , title =. 1975 , publisher =

1975
[267]

Song, Jian and Tian, Gang , title =. Invent. Math. , issn =. 2017 , language =. doi:10.1007/s00222-016-0674-4 , keywords =

2017 doi
[268]

Gini, Rosa and Ornea, Liviu and Parton, Maurizio and Piccinni, Paolo , title =. J. Geom. Phys. , issn =. 2006 , language =. doi:10.1016/j.geomphys.2006.01.005 , keywords =

2006 doi
[269]

Abramovich, Dan and Karu, Kalle and Matsuki, Kenji and Wlodarczyk, Jaroslaw , title =. J. Am. Math. Soc. , issn =. 2002 , language =. doi:10.1090/S0894-0347-02-00396-X , keywords =

2002 doi
[270]

, title =

Hironaka, H. , title =. Ann. Math. (2) , issn =. 1964 , language =. doi:10.2307/1970486 , keywords =

1964 doi
[271]

Hironaka, Heisuke , title =. Ann. Math. (2) , issn =. 1964 , language =. doi:10.2307/1970547 , keywords =

1964 doi
[272]

Chow, Wei-Liang and Kodaira, Kunihiko , title =. Proc. Natl. Acad. Sci. USA , issn =. 1952 , language =. doi:10.1073/pnas.38.4.319 , url =

1952 doi
[273]

Angella, Daniele and Parton, Maurizio and Vuletescu, Victor , title =. Int. Math. Res. Not. , issn =. 2023 , language =. doi:10.1093/imrn/rnab362 , keywords =

2023 doi
[274]

On compact complex analytic manifolds of complex dimension 3 , fjournal =

Kawai, S. On compact complex analytic manifolds of complex dimension 3 , fjournal =. J. Math. Soc. Japan , issn =. 1965 , language =. doi:10.2969/jmsj/01740438 , zbMATH =

1965
[275]

1998 , publisher =

Suwa, Tatsuo , title =. 1998 , publisher =

1998
[276]

Vaisman, Izu , title =. Trans. Am. Math. Soc. , issn =. 1980 , language =. doi:10.2307/1999844 , keywords =

1980 doi
[277]

and Kotschick, D

Kokarev, G. and Kotschick, D. , title =. Proc. Am. Math. Soc. , issn =. 2010 , language =. doi:10.1090/S0002-9939-09-10110-7 , keywords =

2010 doi
[278]

Grassi, Antonella , title =. Math. Ann. , issn =. 1991 , language =. doi:10.1007/BF01459246 , keywords =

1991 doi
[279]

Minimal models for

H. Minimal models for. Invent. Math. , issn =. 2016 , language =. doi:10.1007/s00222-015-0592-x , keywords =

2016 doi
[280]

Belgun, Florin Alexandru , title =. Math. Ann. , issn =. 2000 , language =. doi:10.1007/s002080050357 , keywords =

2000 doi
[281]

Fino, Anna and Vezzoni, Luigi , title =. J. Geom. Phys. , issn =. 2015 , language =. doi:10.1016/j.geomphys.2014.12.010 , keywords =

2015 doi
[282]

Fino, Anna and Vezzoni, Luigi , title =. Proc. Am. Math. Soc. , issn =. 2016 , language =. doi:10.1090/proc/12954 , keywords =

2016 doi
[283]

Alexandrov, Bogdan and Ivanov, Stefan , title =. Differ. Geom. Appl. , issn =. 2001 , language =. doi:10.1016/S0926-2245(01)00044-4 , keywords =

2001 doi
[284]

2026 , howpublished =

Daniele Angella and Francesco Pediconi and Carlo Scarpa and Cristiano Spotti and Oluwagbenga Joshua Windare , title =. 2026 , howpublished =

2026
[285]

Daniele Angella and David Petcu and Victor Vuletescu , note =
[286]

Nagoya Math

Kobayashi, Shoshichi , title =. Nagoya Math. J. , issn =. 1980 , language =. doi:10.1017/S0027763000018602 , keywords =

1980 doi
[287]

1987 , publisher =

Kobayashi, Shoshichi , title =. 1987 , publisher =

1987
[288]

L. The. 1995 , publisher =

1995
[289]

2002 , language =

Perelman, Grisha , title =. 2002 , language =

2002
[290]

2003 , language =

Perelman, Grisha , title =. 2003 , language =

2003
[291]

and Picard, Sebastien and Zhang, Xiangwen , title =

Fei, Teng and Phong, Duong H. and Picard, Sebastien and Zhang, Xiangwen , title =. Camb. J. Math. , issn =. 2021 , language =. doi:10.4310/CJM.2021.v9.n3.a3 , keywords =

2021 doi
[292]

and Picard, Sebastien and Zhang, Xiangwen , title =

Phong, Duong H. and Picard, Sebastien and Zhang, Xiangwen , title =. Celebrating the 50th anniversary of the Journal of Differential Geometry. Lectures given at the geometry and topology conference at Harvard University, Cambridge, MA, USA, April 28 -- May 2, 2017 , isbn =. 20...

2017 doi
[293]

Shi, Wan-Xiong , title =. J. Differ. Geom. , issn =. 1997 , language =. doi:10.4310/jdg/1214459756 , keywords =

1997
[294]

Automorphisms and examples of compact non-

Magn. Automorphisms and examples of compact non-. Math. Scand. , issn =. 2017 , language =. doi:10.7146/math.scand.a-25983 , keywords =

2017 doi
[295]

Regularizing properties of complex

T. Regularizing properties of complex. Math. Ann. , issn =. 2018 , language =. doi:10.1007/s00208-017-1574-7 , keywords =

2018 doi
[296]

Nie, Xiaolan , title =. Math. Res. Lett. , issn =. 2017 , language =. doi:10.4310/MRL.2017.v24.n6.a13 , keywords =

2017 doi
[297]

Vaisman, Izu , title =. Rend. Semin. Mat., Torino , issn =. 1987 , language =

1987
[298]

Voisin, Claire , title =. Int. Math. Res. Not. , issn =. 2002 , language =. doi:10.1155/S1073792802111135 , keywords =

2002 doi
[299]

Bassanelli, Giovanni , title =. J. Geom. Anal. , issn =. 1999 , language =. doi:10.1007/BF02921935 , keywords =

1999 doi
[300]

Hirzebruch, Friedrich , title =. Ann. Math. (2) , issn =. 1954 , language =. doi:10.2307/1969629 , zbMATH =

1954 doi

Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.

[1] [1]

de Bartolomeis, Paolo , Title =. Riv. Mat. Univ. Parma, V. Ser. , ISSN =. 1994 , Language =

1994

[2] [2]

H. Calabi-. 1992 , Publisher =

1992

[3] [3]

and Nirenberg, Louis , Title =

Newlander, A. and Nirenberg, Louis , Title =. Ann. Math. (2) , ISSN =. 1957 , Language =. doi:10.2307/1970051 , zbMATH =

doi:10.2307/1970051 1957

[4] [4]

Schouten, J. A. and van Dantzig, D. , Title =. Math. Ann. , ISSN =. 1930 , Language =. doi:10.1007/BF01455698 , URL =

work page doi:10.1007/bf01455698 1930

[5] [5]

Introduction

Weil, Andr. Introduction. 1958 , Language =

1958

[6] [6]

, Title =

Fubini, G. , Title =. 1904 , Language =

1904

[7] [7]

, Title =

Study, E. , Title =. Math. Ann. , ISSN =. 1905 , Language =. doi:10.1007/BF01457616 , URL =

work page doi:10.1007/bf01457616 1905

[8] [8]

Kodaira, Kunihiko , Title =. Ann. Math. (2) , ISSN =. 1954 , Language =. doi:10.2307/1969701 , zbMATH =

work page doi:10.2307/1969701 1954