Paper Citation Record · LEDGER

First eigenvalue estimates on complete K\"ahler manifolds

As of 12 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2507.09203.

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pith.paper-citation-record.v1
2507.09203 v1

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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50 of 50 outbound references displayed

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Outbound references

Observation 71294393-9e95-4ff9-a8f0-f7496ca7a503 · outbound

This paper cites Schwarz lemma: the case of equality and an extension.

First eigenvalue estimates on complete K\"ahler manifolds Schwarz lemma: the case of equality and an extension

Reference 1

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Observation 2978bfd5-c194-47f1-a7c0-582c80c54c78 · outbound

This paper cites On the S chwarz lemma for complete K \"ahler manifolds.

First eigenvalue estimates on complete K\"ahler manifolds On the S chwarz lemma for complete K \"ahler manifolds

Reference 2

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Observation 3e58ff48-3ac3-4757-81bc-355647f581e6 · outbound

This paper cites Eigenvalue comparison theorems and its geometric applications.

First eigenvalue estimates on complete K\"ahler manifolds Eigenvalue comparison theorems and its geometric applications

Reference 3

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Observation b9e4f4f6-38a4-4465-b8ba-e4fc92a5c053 · outbound

This paper cites Differential equations on Riemannian manifolds and their geometric applications.

First eigenvalue estimates on complete K\"ahler manifolds Differential equations on Riemannian manifolds and their geometric applications

Reference 4

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Observation 29a97a7b-09c8-4e3c-8197-5c5c53719fc1 · outbound

This paper cites On K\"ahler manifolds with non-negative mixed curvature.

First eigenvalue estimates on complete K\"ahler manifolds On K\"ahler manifolds with non-negative mixed curvature

Reference 5

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Observation b99a55fe-4330-4c98-91bf-510017e191f4 · outbound

This paper cites The rigidity of eigenvalues on K\"ahler manifolds with positive Ricci lower bound.

First eigenvalue estimates on complete K\"ahler manifolds The rigidity of eigenvalues on K\"ahler manifolds with positive Ricci lower bound

Reference 6

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Observation bd7c7d51-e883-4046-92cf-cca47504a38c · outbound

This paper cites Diameter rigidity for K \"ahler manifolds with positive bisectional curvature.

First eigenvalue estimates on complete K\"ahler manifolds Diameter rigidity for K \"ahler manifolds with positive bisectional curvature

Reference 7

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Observation 91101893-60ca-4bfc-8523-e91049009efb · outbound

This paper cites Metric rigidity of K\"ahler manifolds with lower Ricci bounds and almost maximal volume.

First eigenvalue estimates on complete K\"ahler manifolds Metric rigidity of K\"ahler manifolds with lower Ricci bounds and almost maximal volume

Reference 8

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Observation 2051e67f-881a-4d28-afe3-4193c31a6d46 · outbound

This paper cites Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle.

First eigenvalue estimates on complete K\"ahler manifolds Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:25:19.706022Z

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Observation acb3b563-0dad-464f-8e8e-21b4fd4c2e20 · outbound

This paper cites Partial differential equations.

First eigenvalue estimates on complete K\"ahler manifolds Partial differential equations

Reference 10

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Observation bc8bc906-77ba-4f08-bec7-201d0c7ed7bf · outbound

This paper cites Sharp constant in a Sobolev trace inequality.

First eigenvalue estimates on complete K\"ahler manifolds Sharp constant in a Sobolev trace inequality

Reference 11

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Observation 63adfc96-9be0-48e6-a30a-36aa588a1553 · outbound

This paper cites A remark on Zhong-Yang's eigenvalue estimate.

First eigenvalue estimates on complete K\"ahler manifolds A remark on Zhong-Yang's eigenvalue estimate

Reference 12

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Observation e7cd7068-afc2-4dca-86c6-a7a3f8f70c0d · outbound

This paper cites Optimal bounds for the volumes of K\"ahler--Einstein Fano manifolds.

First eigenvalue estimates on complete K\"ahler manifolds Optimal bounds for the volumes of K\"ahler--Einstein Fano manifolds

Reference 13

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Observation 2e0c5547-bb4d-4f53-944a-a09f2a15536e · outbound

This paper cites K\"ahler--Einstein metrics and integral invariants.

First eigenvalue estimates on complete K\"ahler manifolds K\"ahler--Einstein metrics and integral invariants

Reference 14

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Observation 6613778b-9c02-4ed4-883a-0a1723ed66c2 · outbound

This paper cites A lower bound for the first eigenvalue for the Laplacian on compact manifolds.Indiana U.

First eigenvalue estimates on complete K\"ahler manifolds A lower bound for the first eigenvalue for the Laplacian on compact manifolds.Indiana U

Reference 15

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Observation b46b425a-f4a3-4341-bc28-43ea7fed361d · outbound

This paper cites Poincar\'e inequalities on Riemannian manifolds.

First eigenvalue estimates on complete K\"ahler manifolds Poincar\'e inequalities on Riemannian manifolds

Reference 16

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Observation 82d904f2-0a76-4070-91b4-c81a2dab928f · outbound

This paper cites Applications of eigenvalue techniques to geometry.

First eigenvalue estimates on complete K\"ahler manifolds Applications of eigenvalue techniques to geometry

Reference 17

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Observation 3eb6818c-fbe2-4e3e-8774-488f93ad5256 · outbound

This paper cites Comparison theorem for K \"ahler manifolds and positivity of spectrum.

First eigenvalue estimates on complete K\"ahler manifolds Comparison theorem for K \"ahler manifolds and positivity of spectrum

Reference 18

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Observation fcde5930-ce2d-4db6-ae4e-7de425862bfa · outbound

This paper cites Eigenvalues of a Compact Riemannian Manifold.

First eigenvalue estimates on complete K\"ahler manifolds Eigenvalues of a Compact Riemannian Manifold

Reference 19

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Observation 4e6ba1e4-2275-4897-aea4-acba6aae957f · outbound

This paper cites G\' e om\' e trie des groupes de transformations.

First eigenvalue estimates on complete K\"ahler manifolds G\' e om\' e trie des groupes de transformations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:25:19.535685Z

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Observation 8d0f612c-2b28-446e-b11b-739062461571 · outbound

This paper cites K\"ahler manifolds with Ricci curvature lower bound.

First eigenvalue estimates on complete K\"ahler manifolds K\"ahler manifolds with Ricci curvature lower bound

Reference 21

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Observation 416e30c0-ec44-4384-9bb4-f9470554ea78 · outbound

This paper cites Diameter rigidity for K \"ahler manifolds with positive bisectional curvature.

First eigenvalue estimates on complete K\"ahler manifolds Diameter rigidity for K \"ahler manifolds with positive bisectional curvature

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:25:19.504976Z

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Observation 5c20d50a-a8a0-4e5f-857f-10c53c2585a4 · outbound

This paper cites Comparison geometry of holomorphic bisectional curvature for K \"ahler manifolds and limit spaces.

First eigenvalue estimates on complete K\"ahler manifolds Comparison geometry of holomorphic bisectional curvature for K \"ahler manifolds and limit spaces

Reference 23

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Observation cd95c790-f805-4c01-920b-ee6f2341beca · outbound

This paper cites On projective manifolds with semi-positive holomorphic sectional curvature.

First eigenvalue estimates on complete K\"ahler manifolds On projective manifolds with semi-positive holomorphic sectional curvature

Reference 24

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Observation 6ffd2468-2662-4875-9240-373dbb687adf · outbound

This paper cites A sharp estimate for the bottom of the spectrum of the Laplacian on K\"ahler manifolds.

First eigenvalue estimates on complete K\"ahler manifolds A sharp estimate for the bottom of the spectrum of the Laplacian on K\"ahler manifolds

Reference 25

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Observation 5ed185ed-3eb6-475c-a4d5-c082cf3d4628 · outbound

This paper cites On a characterization of the complex hyperbolic space.

First eigenvalue estimates on complete K\"ahler manifolds On a characterization of the complex hyperbolic space

Reference 26

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Observation f0d4f49f-354f-4b16-a97a-b957aacaf584 · outbound

This paper cites Liouville theorems and a schwarz lemma for holomorphic mappings between K \"ahler manifolds.

First eigenvalue estimates on complete K\"ahler manifolds Liouville theorems and a schwarz lemma for holomorphic mappings between K \"ahler manifolds

Reference 27

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Observation c4cc0e23-00c0-4bdf-9d17-37bf47c39156 · outbound

This paper cites Comparison and vanishing theorems for K \"ahler manifolds.

First eigenvalue estimates on complete K\"ahler manifolds Comparison and vanishing theorems for K \"ahler manifolds

Reference 28

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Observation 74fe5d87-e779-4000-b3c0-cfd3f15cab85 · outbound

This paper cites Positivity and the K odaira embedding theorem.

First eigenvalue estimates on complete K\"ahler manifolds Positivity and the K odaira embedding theorem

Reference 29

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Observation 02e64232-6880-4876-8228-e66e41b93c7e · outbound

This paper cites Certain conditions for a Riemannian manifold to be isometric with a sphere.

First eigenvalue estimates on complete K\"ahler manifolds Certain conditions for a Riemannian manifold to be isometric with a sphere

Reference 30

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Observation 394c3820-b024-46b4-9c6b-73768b0fa100 · outbound

This paper cites On eigenvalue pinching in positive Ricci curvature.

First eigenvalue estimates on complete K\"ahler manifolds On eigenvalue pinching in positive Ricci curvature

Reference 31

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Observation 321fa541-bae5-457b-abb3-d8cbe17e0a78 · outbound

This paper cites Indiana U.

First eigenvalue estimates on complete K\"ahler manifolds Indiana U

Reference 32

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Observation e13324bf-1f8c-4627-921c-649f0c0f363f · outbound

This paper cites A lower bound for the first eigenvalue of a negatively curved manifold, J.

First eigenvalue estimates on complete K\"ahler manifolds A lower bound for the first eigenvalue of a negatively curved manifold, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.812108Z

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Observation 4b07447a-54be-4854-8dd6-0e05e042ab26 · outbound

This paper cites The A hlfors- S chwarz lemma in several complex variables.

First eigenvalue estimates on complete K\"ahler manifolds The A hlfors- S chwarz lemma in several complex variables

Reference 34

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Observation a39ce2dd-0ec7-43b9-8547-a0f2036f1f91 · outbound

This paper cites On K \"ahlerian manifolds with positive holomorphic sectional curvature.

First eigenvalue estimates on complete K\"ahler manifolds On K \"ahlerian manifolds with positive holomorphic sectional curvature

Reference 35

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Observation 6ae09787-4981-4bfb-ba3f-ea26becb2ab9 · outbound

This paper cites Some comparison theorems for K \"ahler manifolds.

First eigenvalue estimates on complete K\"ahler manifolds Some comparison theorems for K \"ahler manifolds

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.651387Z

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Observation 7ba7c690-4c1b-4ad3-83e5-0eb26c56c6d1 · outbound

This paper cites An extension of a theorem of W u- Y au.

First eigenvalue estimates on complete K\"ahler manifolds An extension of a theorem of W u- Y au

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.549015Z

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Observation 0bc63442-100a-4a09-839a-9b6b5385e202 · outbound

This paper cites Negative Holomorphic curvature and positive canonical bundle, Invent.

First eigenvalue estimates on complete K\"ahler manifolds Negative Holomorphic curvature and positive canonical bundle, Invent

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.468180Z

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Observation 4dea4303-abb7-42b3-8e58-fc5171350074 · outbound

This paper cites A remark on our paper ``Negative Holomorphic curvature and positive canonical bundle", Comm.

First eigenvalue estimates on complete K\"ahler manifolds A remark on our paper ``Negative Holomorphic curvature and positive canonical bundle", Comm

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.391650Z

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Observation 948eee3b-c6c0-4a8c-a278-a2e93469f3b1 · outbound

This paper cites Conjugate radius, volume comparison and rigidity.

First eigenvalue estimates on complete K\"ahler manifolds Conjugate radius, volume comparison and rigidity

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:24:55.367873Z

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Observation 59997895-d229-4142-9703-36890f8b42e7 · outbound

This paper cites RC-positivity, Schwarz's lemma and comparison theorems.

First eigenvalue estimates on complete K\"ahler manifolds RC-positivity, Schwarz's lemma and comparison theorems

Reference 41

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Source-reported events for the cited work

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Observation 3312e7ed-adab-44d5-a8d4-321f381936b6 · outbound

This paper cites Hirzebruch manifolds and positive holomorphic sectional curvature.

First eigenvalue estimates on complete K\"ahler manifolds Hirzebruch manifolds and positive holomorphic sectional curvature

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.320773Z

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Observation 60b7a96b-b838-46ba-8d7e-3be78211c94b · outbound

This paper cites R C -positivity, rational connectedness and Y au's conjecture.

First eigenvalue estimates on complete K\"ahler manifolds R C -positivity, rational connectedness and Y au's conjecture

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.259468Z

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Observation 2acba859-d8cb-4713-95d0-a7770863b253 · outbound

This paper cites R C -positivity and the generalized energy density I : R igidity.

First eigenvalue estimates on complete K\"ahler manifolds R C -positivity and the generalized energy density I : R igidity

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.186933Z

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Observation 373e367d-0a8d-42b6-9c4c-38e58052a492 · outbound

This paper cites Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold.

First eigenvalue estimates on complete K\"ahler manifolds Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:56.077063Z

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Observation 6793f11a-2bb3-4e68-bb31-efe000dd58f5 · outbound

This paper cites A general S chwarz lemma for K \"ahler manifolds.

First eigenvalue estimates on complete K\"ahler manifolds A general S chwarz lemma for K \"ahler manifolds

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:55.986055Z

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Observation 0c25dba2-22c6-40bc-a837-5ecde480f162 · outbound

This paper cites Problem section, Seminar on differential geometry.

First eigenvalue estimates on complete K\"ahler manifolds Problem section, Seminar on differential geometry

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:55.864741Z

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Observation dab0b0ea-6a6f-4739-94fd-16090e46c7f3 · outbound

This paper cites On the optimal volume upper bound for K \"ahler manifolds with positive R icci curvature.

First eigenvalue estimates on complete K\"ahler manifolds On the optimal volume upper bound for K \"ahler manifolds with positive R icci curvature

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:55.702612Z

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Observation c414e9e0-f1e2-45e0-b58a-121d20af641a · outbound

This paper cites On the estimate of the first eigenvalue of a compact Riemannian manifold.

First eigenvalue estimates on complete K\"ahler manifolds On the estimate of the first eigenvalue of a compact Riemannian manifold

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:55.619083Z

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Observation 2096a8d0-2290-432a-8a41-ed6c850e010c · outbound

This paper cites On the structure of compact K\"{a}hler manifolds with nonnegative holomorphic sectional curvature.

First eigenvalue estimates on complete K\"ahler manifolds On the structure of compact K\"{a}hler manifolds with nonnegative holomorphic sectional curvature

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.227443Z

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Pith citing papers

Observation d1bc3f0a-86be-48f9-a162-a55aa19c148d · inbound

First eigenvalue estimates on complete balanced Hermitian manifolds cites this paper.

First eigenvalue estimates on complete balanced Hermitian manifolds First eigenvalue estimates on complete K\"ahler manifolds

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T00:31:47.909758Z

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