The entropy formula for the Ricci flow and its geometric applications | Paper Citation Record

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On Warped Product Gradient Ricci-Harmonic Soliton cites this paper.

On Warped Product Gradient Ricci-Harmonic Soliton The entropy formula for the Ricci flow and its geometric applications

Reference 8

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Community Detection on Networks with Ricci Flow cites this paper.

Community Detection on Networks with Ricci Flow The entropy formula for the Ricci flow and its geometric applications

Reference 17

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On the top-dimensional $\ell^2$-Betti numbers cites this paper.

On the top-dimensional $\ell^2$-Betti numbers The entropy formula for the Ricci flow and its geometric applications

Reference 39

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Morse-Bott inequalities, Topology Change and Cobordisms to Nothing cites this paper.

Morse-Bott inequalities, Topology Change and Cobordisms to Nothing The entropy formula for the Ricci flow and its geometric applications

Reference 142

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Solutions to the Ricci Flow via Einstein Field Equations cites this paper.

Solutions to the Ricci Flow via Einstein Field Equations The entropy formula for the Ricci flow and its geometric applications

Reference 3

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Observation 215e7c79-76c2-4d40-a9ca-2184f9cc77ee · inbound

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature cites this paper.

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature The entropy formula for the Ricci flow and its geometric applications

Reference 35

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The Master-Slave Encoder Model for Improving Patent Text Summarization: A New Approach to Combining Specifications and Claims cites this paper.

The Master-Slave Encoder Model for Improving Patent Text Summarization: A New Approach to Combining Specifications and Claims The entropy formula for the Ricci flow and its geometric applications

Reference 88

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Exotic aspherical 4-manifolds cites this paper.

Exotic aspherical 4-manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 24

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Observation 44d78c2e-2502-4c1f-93dc-e6d638e86577 · inbound

The K\"ahler-Ricci soliton on bounded pseudoconvex domains cites this paper.

The K\"ahler-Ricci soliton on bounded pseudoconvex domains The entropy formula for the Ricci flow and its geometric applications

Reference 28

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Convex sets can have interior hot spots cites this paper.

Convex sets can have interior hot spots The entropy formula for the Ricci flow and its geometric applications

Reference 17

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Eigenvalue estimates and applications on weighted manifolds cites this paper.

Eigenvalue estimates and applications on weighted manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 16

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Navigating string theory field space with geometric flows cites this paper.

Navigating string theory field space with geometric flows The entropy formula for the Ricci flow and its geometric applications

Reference 12

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Classification of ancient noncollapsed flows in $\mathbb{R}^4$ cites this paper.

Classification of ancient noncollapsed flows in $\mathbb{R}^4$ The entropy formula for the Ricci flow and its geometric applications

Reference 51

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Spectral comparison results for the $N$-Bakry-Emery Ricci tensor cites this paper.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor The entropy formula for the Ricci flow and its geometric applications

Reference 17

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Infinitely many non-collapsed steady Ricci solitons on complex line bundles cites this paper.

Infinitely many non-collapsed steady Ricci solitons on complex line bundles The entropy formula for the Ricci flow and its geometric applications

Reference 17

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A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background cites this paper.

A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background The entropy formula for the Ricci flow and its geometric applications

Reference 12

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A Liouville Theorem and $C^{\alpha}$-Estimate for Calabi-Yau Cones cites this paper.

A Liouville Theorem and $C^{\alpha}$-Estimate for Calabi-Yau Cones The entropy formula for the Ricci flow and its geometric applications

Reference 41

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Geometric flows and space-periodic solitons on the light-cone cites this paper.

Geometric flows and space-periodic solitons on the light-cone The entropy formula for the Ricci flow and its geometric applications

Reference 1965

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Observation 8b04caa6-c163-4da2-8d75-4e9d07922546 · inbound

Global linearization of asymptotically stable systems without hyperbolicity cites this paper.

Global linearization of asymptotically stable systems without hyperbolicity The entropy formula for the Ricci flow and its geometric applications

Reference 33

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Observation 2648be99-ebe5-43e1-864a-051d7af0604d · inbound

3-Manifolds with positive scalar curvature and bounded geometry cites this paper.

3-Manifolds with positive scalar curvature and bounded geometry The entropy formula for the Ricci flow and its geometric applications

Reference 29

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A large data result for vacuum Einstein's equations cites this paper.

A large data result for vacuum Einstein's equations The entropy formula for the Ricci flow and its geometric applications

Reference 40

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Uniqueness of Ricci flow with scaling invariant estimates cites this paper.

Uniqueness of Ricci flow with scaling invariant estimates The entropy formula for the Ricci flow and its geometric applications

Reference 24

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Observation d7372cf0-11cb-43c2-bec1-d0d06cc724f1 · inbound

A prescribed curvature flow on hyperbolic surfaces with infinite topological type cites this paper.

A prescribed curvature flow on hyperbolic surfaces with infinite topological type The entropy formula for the Ricci flow and its geometric applications

Reference 28

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On steady and expanding Ricci solitons with asymptotic symmetries cites this paper.

On steady and expanding Ricci solitons with asymptotic symmetries The entropy formula for the Ricci flow and its geometric applications

Reference 34

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Some Characteristics of Almost $\omega$-Bach Solitons cites this paper.

Some Characteristics of Almost $\omega$-Bach Solitons The entropy formula for the Ricci flow and its geometric applications

Reference 4

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Geometric flow regularization in latent spaces for smooth dynamics with the efficient variations of curvature cites this paper.

Geometric flow regularization in latent spaces for smooth dynamics with the efficient variations of curvature The entropy formula for the Ricci flow and its geometric applications

Reference 39

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds cites this paper.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 6

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Ontology Neural Network and ORTSF: A Framework for Topological Reasoning and Delay-Robust Control cites this paper.

Ontology Neural Network and ORTSF: A Framework for Topological Reasoning and Delay-Robust Control The entropy formula for the Ricci flow and its geometric applications

Reference 25

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Yang-Baxter Equation and Related Algebraic Structures cites this paper.

Yang-Baxter Equation and Related Algebraic Structures The entropy formula for the Ricci flow and its geometric applications

Reference 261

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Observation 3e6385c5-05ee-4d45-a95d-a7a478f62377 · inbound

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System cites this paper.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System The entropy formula for the Ricci flow and its geometric applications

Reference 4

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Extensions and Applications of Bredon's Trick in Geometric and Topological Contexts cites this paper.

Extensions and Applications of Bredon's Trick in Geometric and Topological Contexts The entropy formula for the Ricci flow and its geometric applications

Reference 22

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Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay cites this paper.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay The entropy formula for the Ricci flow and its geometric applications

Reference 22

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Cooperative Face Liveness Detection from Optical Flow cites this paper.

Cooperative Face Liveness Detection from Optical Flow The entropy formula for the Ricci flow and its geometric applications

Reference 30

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Observation 707943f7-bfe8-4714-9003-acca8b674467 · inbound

Modal Geometry Governs Proteoform Dynamics cites this paper.

Modal Geometry Governs Proteoform Dynamics The entropy formula for the Ricci flow and its geometric applications

Reference 21

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Observation eb51f95a-259e-4d7c-83da-297e5057ab01 · inbound

A note on a diffeomorphism criterion via long-time Ricci flow cites this paper.

A note on a diffeomorphism criterion via long-time Ricci flow The entropy formula for the Ricci flow and its geometric applications

Reference 20

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Observation e36e59df-8c39-4ffa-b685-4bdfe3c624ce · inbound

First-Principles Prediction of Material Properties from Topological Invariants cites this paper.

First-Principles Prediction of Material Properties from Topological Invariants The entropy formula for the Ricci flow and its geometric applications

Reference 19

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Observation f340a3ee-4170-455d-96da-f4b40f91d4e5 · inbound

Cosmological viability of anisotropic inflation in Thurston spacetimes cites this paper.

Cosmological viability of anisotropic inflation in Thurston spacetimes The entropy formula for the Ricci flow and its geometric applications

Reference 17

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Observation 7406e6c3-c577-4f59-8bab-0364646f8f63 · inbound

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula cites this paper.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula The entropy formula for the Ricci flow and its geometric applications

Reference 7

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Observation 97515b73-1d1b-4f0d-9c68-ca82de4f3e52 · inbound

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula cites this paper.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula The entropy formula for the Ricci flow and its geometric applications

Reference 6

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Observation e8e15733-c339-4ae1-ae45-f54b8cab4472 · inbound

On the structure of noncollapsed Ricci flow limit spaces cites this paper.

On the structure of noncollapsed Ricci flow limit spaces The entropy formula for the Ricci flow and its geometric applications

Reference 35

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Observation b6845ef1-8104-4ab2-9814-4217b509a983 · inbound

Entanglement Spectrum Resolved by Loop Symmetries cites this paper.

Entanglement Spectrum Resolved by Loop Symmetries The entropy formula for the Ricci flow and its geometric applications

Reference 69

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Strong uniqueness of tangent flows at cylindrical singularities in Ricci flow cites this paper.

Strong uniqueness of tangent flows at cylindrical singularities in Ricci flow The entropy formula for the Ricci flow and its geometric applications

Reference 10

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Observation b76f38cc-70fd-4171-af3e-05eb7b854149 · inbound

Quasi-Einstein Metrics and a curvature identity associated with the Ricci flow cites this paper.

Quasi-Einstein Metrics and a curvature identity associated with the Ricci flow The entropy formula for the Ricci flow and its geometric applications

Reference 19

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Observation d97a0885-a023-47b2-a6f4-c1de012e9b76 · inbound

Expansion joints in hyperbolic manifolds cites this paper.

Expansion joints in hyperbolic manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 36

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Observation 50396347-ab1e-4304-a03e-2bf38e25e804 · inbound

Bianchi cosmologies in a Thurston-based theory of gravity cites this paper.

Bianchi cosmologies in a Thurston-based theory of gravity The entropy formula for the Ricci flow and its geometric applications

Reference 44

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Observation 63172653-8845-47f9-9d32-2dbcb37d0ec0 · inbound

Gromov-Hausdorff limits of immortal K\"ahler-Ricci flows cites this paper.

Gromov-Hausdorff limits of immortal K\"ahler-Ricci flows The entropy formula for the Ricci flow and its geometric applications

Reference 31

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Observation 975dfe0f-928d-4bd4-8810-083614b3b837 · inbound

The Ricci flow with prescribed curvature on graphs cites this paper.

The Ricci flow with prescribed curvature on graphs The entropy formula for the Ricci flow and its geometric applications

Reference 27

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Observation 7fc0b847-b767-418c-9cc7-05b562d9c4dc · inbound

The Calabi flow with prescribed curvature on finite graphs cites this paper.

The Calabi flow with prescribed curvature on finite graphs The entropy formula for the Ricci flow and its geometric applications

Reference 25

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Observation f043e8a0-dfc8-48b3-92e9-5e130d9c3b71 · inbound

Gromov-Hausdorff limits of the Chern-Ricci flow on smooth Hermitian minimal models of general type cites this paper.

Gromov-Hausdorff limits of the Chern-Ricci flow on smooth Hermitian minimal models of general type The entropy formula for the Ricci flow and its geometric applications

Reference 50

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Observation f1167066-f50e-4b28-843d-b93511fe3bb5 · inbound

On the Chern-Ricci form of a twisted almost K\"{a}hler structure cites this paper.

On the Chern-Ricci form of a twisted almost K\"{a}hler structure The entropy formula for the Ricci flow and its geometric applications

Reference 6

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Observation 9fa58683-170b-4edb-8862-0d4e78bd5ed1 · inbound

On weak formulations of (super) Ricci flows cites this paper.

On weak formulations of (super) Ricci flows The entropy formula for the Ricci flow and its geometric applications

Reference 20

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Observation b7d74128-a1b2-4e60-8708-af27677ffa0c · inbound

A Diagnostics-First Composite Index for Macro-Financial Resilience to Socioeconomic Challenges: The Gondauri Index with Benchmarking and Scenario Evidence cites this paper.

A Diagnostics-First Composite Index for Macro-Financial Resilience to Socioeconomic Challenges: The Gondauri Index with Benchmarking and Scenario Evidence The entropy formula for the Ricci flow and its geometric applications

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-10T14:45:39.577957Z

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Observation 91f6e095-c288-4a0c-b3f4-0cd34082277e · inbound

The perturbative Ricci flow in gravity cites this paper.

The perturbative Ricci flow in gravity The entropy formula for the Ricci flow and its geometric applications

Reference 35

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Observation 9f55016b-8060-45d8-a236-5a88d0ea4488 · inbound

Geometric Renyi Differential Privacy: Ricci Curvature Characterized by Heat Diffusion Mechanisms cites this paper.

Geometric Renyi Differential Privacy: Ricci Curvature Characterized by Heat Diffusion Mechanisms The entropy formula for the Ricci flow and its geometric applications

Reference 38

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Observation a83f9688-25ce-4c09-83b0-af5c2f0e0089 · inbound

A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature cites this paper.

A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature The entropy formula for the Ricci flow and its geometric applications

Reference 29

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Observation 7d9fca0d-f469-4a19-8718-89b274ae1c38 · inbound

Geometric Reductions of the $G_2$-Hilbert Functional via Circle Actions cites this paper.

Geometric Reductions of the $G_2$-Hilbert Functional via Circle Actions The entropy formula for the Ricci flow and its geometric applications

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:15:38.259035Z

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Observation 02e7c745-d2a0-4187-9865-3363a9536338 · inbound

Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations cites this paper.

Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:30:44.509679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 60da4d16-cff5-482c-979c-91fa37cc670d · inbound

Notes on harmonic-Ricci flow on surface cites this paper.

Notes on harmonic-Ricci flow on surface The entropy formula for the Ricci flow and its geometric applications

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:31:14.247065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b61ecbb5-566e-411b-998f-dcb69306884a · inbound

On an invariant curvature cone along 4-dimensional Ricci flow cites this paper.

On an invariant curvature cone along 4-dimensional Ricci flow The entropy formula for the Ricci flow and its geometric applications

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:36:25.370044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6ae6a077-5d73-4732-84a3-cbaef18c7d09 · inbound

On an invariant curvature cone along 4-dimensional Ricci flow cites this paper.

On an invariant curvature cone along 4-dimensional Ricci flow The entropy formula for the Ricci flow and its geometric applications

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-07-01T13:55:45.856221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3ab8e187-19b9-47e9-98f8-70a29d139eb4 · inbound

Explicit Laplace Spectra of Homogeneous Principal Bundles cites this paper.

Explicit Laplace Spectra of Homogeneous Principal Bundles The entropy formula for the Ricci flow and its geometric applications

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-13T00:57:00.621325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f949557f-a1a8-4fe1-a209-69948314bdf5 · inbound

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes cites this paper.

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-05-15T01:28:27.092752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d64918a8-ebea-40e4-8dac-110628d2a406 · inbound

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes cites this paper.

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-05-20T21:29:03.204047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8bcd393b-a43c-4134-83d8-a6c354044dc7 · inbound

$\kappa$-solutions with the round cylinder as an asymptotic shrinker cites this paper.

$\kappa$-solutions with the round cylinder as an asymptotic shrinker The entropy formula for the Ricci flow and its geometric applications

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-06-30T20:15:05.392856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 58cf2fa6-09ac-458f-ae08-a1fdf9811ef1 · inbound

A vector field induced de Rham-Hodge theory on manifolds cites this paper.

A vector field induced de Rham-Hodge theory on manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 17

Resolution: metadata mismatch; local_arxiv, observed 2026-05-19T19:52:44.539995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 62fed8ff-6982-47ca-ae32-92b4290cc0b3 · inbound

A vector field induced de Rham-Hodge theory on manifolds cites this paper.

A vector field induced de Rham-Hodge theory on manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 17

Resolution: metadata mismatch; local_arxiv, observed 2026-06-30T19:55:01.711494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5299162e-f149-4f23-9fff-b73a09ef5e59 · inbound

Functional Renormalization Group as a Ricci Flow: An $\mathcal{F}$-Entropy Perspective on Information Metric Dynamics cites this paper.

Functional Renormalization Group as a Ricci Flow: An $\mathcal{F}$-Entropy Perspective on Information Metric Dynamics The entropy formula for the Ricci flow and its geometric applications

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-05-19T23:47:52.017424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ac7cbb67-19b5-4643-8733-11349735366e · inbound

Functional Renormalization Group as a Ricci Flow: An $\mathcal{F}$-Entropy Perspective on Information Metric Dynamics cites this paper.

Functional Renormalization Group as a Ricci Flow: An $\mathcal{F}$-Entropy Perspective on Information Metric Dynamics The entropy formula for the Ricci flow and its geometric applications

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-06-30T19:55:01.644821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 52acfa48-bdeb-46ec-b007-80d3570856e6 · inbound

Sharp Gaussian Isoperimetry along a Ricci Flow cites this paper.

Sharp Gaussian Isoperimetry along a Ricci Flow The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T01:39:22.693220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a2696de3-945e-4908-8f03-81e038994a4d · inbound

Geometrisation of 3-manifolds cites this paper.

Geometrisation of 3-manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-25T02:46:33.732381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fb4ea4db-d2d2-437c-8bdd-8e01786a95a1 · inbound

Singular K\"ahler-Ricci Shrinkers are Complex Analytic cites this paper.

Singular K\"ahler-Ricci Shrinkers are Complex Analytic The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-06-29T23:34:04.540202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 758aec50-c787-46b0-af2a-37f1c696da11 · inbound

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures cites this paper.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures The entropy formula for the Ricci flow and its geometric applications

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-01T20:36:11.653051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c46e464d-a358-4c04-8e5c-825a82d9f4b7 · inbound

Entropy Production and the Gravitational Origin of the Second Law cites this paper.

Entropy Production and the Gravitational Origin of the Second Law The entropy formula for the Ricci flow and its geometric applications

Reference 18

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T00:56:24.360543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 62678641-6382-4f00-9703-fabcd044a0ac · inbound

Rigidity of complete non-compact generalized m-quasi-Einstein manifolds cites this paper.

Rigidity of complete non-compact generalized m-quasi-Einstein manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:47:05.876188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6ce779a6-1925-48cf-913b-909834bd602b · inbound

Rigidity of complete non-compact generalized m-quasi-Einstein manifolds cites this paper.

Rigidity of complete non-compact generalized m-quasi-Einstein manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T05:04:20.424788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b84f83b6-ac44-4440-88c9-407b783db182 · inbound

On the structure of complete $G_2$-solitons cites this paper.

On the structure of complete $G_2$-solitons The entropy formula for the Ricci flow and its geometric applications

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:47:06.329963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 27dad207-d136-4683-923b-07b95e5c571e · inbound

Closed $4$--Manifolds Foliated by Hyperplanes cites this paper.

Closed $4$--Manifolds Foliated by Hyperplanes The entropy formula for the Ricci flow and its geometric applications

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-02T22:07:25.974443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 71715b86-5d83-41ad-8e83-802ecbfc0ed4 · inbound

Monotone quantities on $3$-manifolds with nonnegative scalar curvature cites this paper.

Monotone quantities on $3$-manifolds with nonnegative scalar curvature The entropy formula for the Ricci flow and its geometric applications

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-07-02T21:47:27.860535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cf89fa8f-2f66-407c-99eb-33e7c4ef5c7a · inbound

Asymptotic Profiles and Non-Trivial Breathers in Kahler-Ricci Flow cites this paper.

Asymptotic Profiles and Non-Trivial Breathers in Kahler-Ricci Flow The entropy formula for the Ricci flow and its geometric applications

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-06-27T18:41:08.742732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a8ab4033-09df-4124-95fb-c2361b839c87 · inbound

The Ollivier Ricci flow with prescribed curvature on infinite graphs cites this paper.

The Ollivier Ricci flow with prescribed curvature on infinite graphs The entropy formula for the Ricci flow and its geometric applications

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-07-03T03:07:35.494443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1045b25e-e04a-4b99-9aad-7989e620bdc6 · inbound

Ricci solitons as critical points of quadratic curvature functionals cites this paper.

Ricci solitons as critical points of quadratic curvature functionals The entropy formula for the Ricci flow and its geometric applications

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-03T16:18:37.959160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d5850fce-5557-47e1-988b-4d3443c71384 · inbound

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three cites this paper.

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three The entropy formula for the Ricci flow and its geometric applications

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-03T16:28:38.693296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0bbadf27-a38a-436c-912f-6416fa20f7a6 · inbound

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three cites this paper.

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three The entropy formula for the Ricci flow and its geometric applications

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T11:40:39.561573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d17c57a3-7564-4e1a-8c9b-810a82ae7810 · inbound

A Levi-type decomposition on two-step solvable Lie algebras with a complex structure cites this paper.

A Levi-type decomposition on two-step solvable Lie algebras with a complex structure The entropy formula for the Ricci flow and its geometric applications

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-03T16:28:39.417459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 00711101-f5e1-40b2-be95-f5abe3df54a9 · inbound

Isometric free finite group actions on non-positively curved 3-manifolds cites this paper.

Isometric free finite group actions on non-positively curved 3-manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-15T10:39:49.531101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf81f37d-4fc5-40b2-b26e-310313b188d7 · inbound

Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere cites this paper.

Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere The entropy formula for the Ricci flow and its geometric applications

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-07-04T09:09:43.211397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3b42bb29-8d6f-437a-9ae5-fe2c47a50907 · inbound

Homology manifolds via six functor formalisms cites this paper.

Homology manifolds via six functor formalisms The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T00:26:23.258802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3f61c0f3-a3b8-4008-bd12-b011fdb27a5f · inbound

Homology manifolds via six functor formalisms cites this paper.

Homology manifolds via six functor formalisms The entropy formula for the Ricci flow and its geometric applications

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:24.970808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ba02da4-aa84-45ce-ac4d-c03ab3333554 · inbound

Unique asymptotics of $SO(k)\times SO(n-k+1)$ symmetric ancient ovals of Ricci flow cites this paper.

Unique asymptotics of $SO(k)\times SO(n-k+1)$ symmetric ancient ovals of Ricci flow The entropy formula for the Ricci flow and its geometric applications

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-12T02:53:26.496646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ed847b-3c9b-4fc7-9a1a-f28a7d0ab844 · inbound

A conformal reduction for the X-ADM mass cites this paper.

A conformal reduction for the X-ADM mass The entropy formula for the Ricci flow and its geometric applications

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T08:16:32.585807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 571f5d05-e3e7-4a25-8cf3-1424ef4f4ee6 · inbound

Entropy and Non-Collapse in Lorentzian Geometry cites this paper.

Entropy and Non-Collapse in Lorentzian Geometry The entropy formula for the Ricci flow and its geometric applications

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T14:27:19.464941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 831eb799-9579-4033-8f74-0375bbe34963 · inbound

Convergence of Finite Element Methods for Ricci Flow cites this paper.

Convergence of Finite Element Methods for Ricci Flow The entropy formula for the Ricci flow and its geometric applications

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T19:17:01.067157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b26cc070-61a1-45a1-82d7-bfe7a30f6310 · inbound

Traversable Wormhole De-singularization: Almost $\eta$-Ricci-Yamabe Solitons in Static Spherically Symmetric Imperfect Fluid Spacetimes cites this paper.

Traversable Wormhole De-singularization: Almost $\eta$-Ricci-Yamabe Solitons in Static Spherically Symmetric Imperfect Fluid Spacetimes The entropy formula for the Ricci flow and its geometric applications

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T23:59:05.752057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9953fbf-265b-4615-b888-cce381f8a747 · inbound

Volume Stability for Hyperbolic Manifolds and Applications to General Relativity cites this paper.

Volume Stability for Hyperbolic Manifolds and Applications to General Relativity The entropy formula for the Ricci flow and its geometric applications

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:53.201869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cdc6b26-8489-48c4-a988-a0272884c172 · inbound

Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces cites this paper.

Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces The entropy formula for the Ricci flow and its geometric applications

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T00:49:12.560253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afea1b70-474c-4c97-890c-287867a8cff1 · inbound

Quantitative stability for Bakry--\'Emery log-Sobolev and Talagrand inequalities cites this paper.

Quantitative stability for Bakry--\'Emery log-Sobolev and Talagrand inequalities The entropy formula for the Ricci flow and its geometric applications

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:47.545968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19f9b9f6-2da0-447e-a429-d96b7d0f88ad · inbound

Open full-metric formation and local marked first-order asymptotic moduli of FIK blowdown singularities cites this paper.

Open full-metric formation and local marked first-order asymptotic moduli of FIK blowdown singularities The entropy formula for the Ricci flow and its geometric applications

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T04:43:48.618040Z

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