Paper Citation Record · LEDGER

Comparison theorems in Hermitian geometry I

As of 22 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2507.15002.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.15002 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:56:07.174819Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:19:25.231283Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation e623df6e-dd62-4a9d-b80c-a40f11fa0705 · outbound

This paper cites On Chern-Yamabe problem.

Comparison theorems in Hermitian geometry I On Chern-Yamabe problem

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:13.325413Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d11a8479-d414-4f80-b1e0-af0412354bdd · outbound

This paper cites On Gauduchon connections with K\"ahler-like curvatures.

Comparison theorems in Hermitian geometry I On Gauduchon connections with K\"ahler-like curvatures

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:13.183204Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a49660d-39fb-41e7-9b7b-ee1a5738cb40 · outbound

This paper cites Locally conformal Hermitian metrics on complex non-K\"ahler manifolds, Mediterr.

Comparison theorems in Hermitian geometry I Locally conformal Hermitian metrics on complex non-K\"ahler manifolds, Mediterr

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:13.134477Z

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Observation 185ebb22-0810-4820-870b-6916d4ba292e · outbound

This paper cites Hermitian conformal classes and almost K\"ahler structures on 4-manifolds.

Comparison theorems in Hermitian geometry I Hermitian conformal classes and almost K\"ahler structures on 4-manifolds

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:13.090739Z

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Observation 779adcea-801c-406e-82a2-5bd239ab3e28 · outbound

This paper cites A local index theorem for non-K\"ahler manifolds.

Comparison theorems in Hermitian geometry I A local index theorem for non-K\"ahler manifolds

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:13.058158Z

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Observation 52ec01c5-f5ae-460a-bbfc-37e53f3fe654 · outbound

This paper cites Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics.

Comparison theorems in Hermitian geometry I Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:12.889548Z

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Observation 461e0e54-24a1-4193-ac4b-da38d522562c · outbound

This paper cites Kodaira dimensions of almost complex manifolds.

Comparison theorems in Hermitian geometry I Kodaira dimensions of almost complex manifolds

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:12.741152Z

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Observation 82c41df8-ccc2-437f-84d5-9199b4fd31e4 · outbound

This paper cites Invariant solutions to the Strominger system on complex Lie groups and their quotients.

Comparison theorems in Hermitian geometry I Invariant solutions to the Strominger system on complex Lie groups and their quotients

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:12.566181Z

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Observation 4b1959eb-ea36-4c11-8065-45ff942794db · outbound

This paper cites Properties of manifolds with skew-symmetric torsion and special holonomy.

Comparison theorems in Hermitian geometry I Properties of manifolds with skew-symmetric torsion and special holonomy

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:12.374988Z

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Observation 19293854-00f5-4c53-9345-50530cc3e973 · outbound

This paper cites On generalized Gauduchon metrics.

Comparison theorems in Hermitian geometry I On generalized Gauduchon metrics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:12.221352Z

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Observation f32ad2b7-c437-4292-9138-9bacaa4c2937 · outbound

This paper cites On non-K\"ahler Calabi-Yau threefolds with balanced metrics.

Comparison theorems in Hermitian geometry I On non-K\"ahler Calabi-Yau threefolds with balanced metrics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:12.046033Z

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Observation 6f69b882-c143-4a75-81c3-712dcd3e3596 · outbound

This paper cites an unresolved cited work.

Comparison theorems in Hermitian geometry I Unresolved cited work

Reference 12

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Observation 017e17eb-7492-445d-a109-3441f0bfa0ed · outbound

This paper cites The theory of superstring with flux on non-K\"ahler manifolds and the complex Monge-Amp\'ere equation.

Comparison theorems in Hermitian geometry I The theory of superstring with flux on non-K\"ahler manifolds and the complex Monge-Amp\'ere equation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:11.765422Z

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Observation e9c24050-b487-4b85-9f28-dbfe401b00a5 · outbound

This paper cites Scalar curvatures in almost Hermitian geometry and some applications.

Comparison theorems in Hermitian geometry I Scalar curvatures in almost Hermitian geometry and some applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:11.656079Z

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Observation 7d43cb8f-79cc-40da-a892-6bd30a4eb7ca · outbound

This paper cites Levi-Civita Ricci-flat metrics on compact complex manifolds.

Comparison theorems in Hermitian geometry I Levi-Civita Ricci-flat metrics on compact complex manifolds

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:11.570899Z

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Observation 99731735-1aae-4b27-a84b-b3c4a8484662 · outbound

This paper cites Vanishing theorems and string backgrounds.

Comparison theorems in Hermitian geometry I Vanishing theorems and string backgrounds

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:11.405705Z

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Observation 21522ef0-b90e-420c-933c-f313359655fb · outbound

This paper cites Symplectic Calabi-Yau surfaces.

Comparison theorems in Hermitian geometry I Symplectic Calabi-Yau surfaces

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:11.282140Z

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Observation aa74d373-3c56-4909-9f62-60fd5bbb8c8e · outbound

This paper cites Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry.

Comparison theorems in Hermitian geometry I Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:11.126862Z

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Observation 5ff25d9c-f8f0-4c70-932b-1898fb6082e5 · outbound

This paper cites The existence of supersymmetric string theory with torsion.

Comparison theorems in Hermitian geometry I The existence of supersymmetric string theory with torsion

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:10.968138Z

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Observation 1eacd8b8-2950-4bcd-9b1d-bba2cf91b2c2 · outbound

This paper cites Geometry of Hermitian manifolds.

Comparison theorems in Hermitian geometry I Geometry of Hermitian manifolds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:10.782174Z

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Observation a5814898-556e-4c42-83d2-37349d2b13f6 · outbound

This paper cites Ricci curvatures on Hermitian manifolds.

Comparison theorems in Hermitian geometry I Ricci curvatures on Hermitian manifolds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:10.600523Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5a64ddb8-3bfe-4de3-99ee-15f694f0dd54 · outbound

This paper cites Minimal complex surface with Levi-Civita Ricci flat metrics.

Comparison theorems in Hermitian geometry I Minimal complex surface with Levi-Civita Ricci flat metrics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:10.455191Z

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Observation 840ec980-a23d-4eff-89bf-ab3df71b1b75 · outbound

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

Comparison theorems in Hermitian geometry I Comparison and vanishing theorems for K \"ahler manifolds

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:10.320110Z

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Observation eea2bca5-80e5-40d0-b4e1-3fba600e8400 · outbound

This paper cites On Hermitian manifolds whose Chern connection is Ambrose-Singer.

Comparison theorems in Hermitian geometry I On Hermitian manifolds whose Chern connection is Ambrose-Singer

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:10.129511Z

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Observation d8b81cf6-99d3-4bf7-b01f-7f18999fe370 · outbound

This paper cites Nuclear Phys.

Comparison theorems in Hermitian geometry I Nuclear Phys

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:09.916271Z

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Observation 053bd645-4304-468a-84b2-e0389f19bf84 · outbound

This paper cites Riemannian Geometry.

Comparison theorems in Hermitian geometry I Riemannian Geometry

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:09.734903Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3254c73e-25e3-4141-8324-e04a6823e29d · outbound

This paper cites Superstrings with Torsion, Nuclear Phys.

Comparison theorems in Hermitian geometry I Superstrings with Torsion, Nuclear Phys

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:09.257675Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 39f5f097-9f09-463d-9d5e-c5a3a87ccd04 · outbound

This paper cites A general Schwarz lemma for almost-Hermitian manifolds.

Comparison theorems in Hermitian geometry I A general Schwarz lemma for almost-Hermitian manifolds

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:08.866926Z

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Observation 5393ffdc-e1c0-42ab-b6b9-08e7751c583d · outbound

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

Comparison theorems in Hermitian geometry I On K \"ahlerian manifolds with positive holomorphic sectional curvature

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:08.697617Z

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Observation 30bba02a-3246-4e60-af6e-68f1ddcdf0e8 · outbound

This paper cites Curvatures of real connections on Hermitian manifolds.

Comparison theorems in Hermitian geometry I Curvatures of real connections on Hermitian manifolds

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.976216Z

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Observation 2d59ff75-3ae1-496a-a63e-3ec298a01770 · outbound

This paper cites and Zheng, F.-Y.

Comparison theorems in Hermitian geometry I and Zheng, F.-Y

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.497866Z

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Observation a9a42c04-1026-4bf7-9b88-b2b70e5c009a · outbound

This paper cites On curvature tensors of Hermitian manifolds, Comm.

Comparison theorems in Hermitian geometry I On curvature tensors of Hermitian manifolds, Comm

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.432696Z

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Observation 30973cec-5caa-4a4b-92e2-dc87235a4ea1 · outbound

This paper cites On compact Hermitian manifolds with flat Gauduchon conmnections, Acta Math.

Comparison theorems in Hermitian geometry I On compact Hermitian manifolds with flat Gauduchon conmnections, Acta Math

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.399652Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 60228b8e-af56-4d36-a2aa-c57dbaf6c0fd · outbound

This paper cites Hermitian manifolds with semipositive holomorphic sectional curvature.

Comparison theorems in Hermitian geometry I Hermitian manifolds with semipositive holomorphic sectional curvature

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.368815Z

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Observation 8c34b410-6ff7-47a7-abbe-ea05ea60f85e · outbound

This paper cites Scalar curvature on compact complex manifolds.

Comparison theorems in Hermitian geometry I Scalar curvature on compact complex manifolds

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.332782Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 935382e3-73f7-4d40-8edd-739eedc6e849 · outbound

This paper cites Scalar curvature, Kodaira dimension and A -genus.

Comparison theorems in Hermitian geometry I Scalar curvature, Kodaira dimension and A -genus

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.302001Z

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Observation b5166111-8868-47bd-b6d5-5f07694d7c09 · outbound

This paper cites On Strominger K\" a hler-like manifolds with degenerate torsion.

Comparison theorems in Hermitian geometry I On Strominger K\" a hler-like manifolds with degenerate torsion

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.280818Z

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Observation 4b88aa40-3b80-480b-8c0c-87eae7732b29 · outbound

This paper cites Hessian comparison and spectrum lower bound of almost Hermitian manifolds.

Comparison theorems in Hermitian geometry I Hessian comparison and spectrum lower bound of almost Hermitian manifolds

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.258867Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89b73d7a-d88f-4337-9345-0be1b1487e9f · outbound

This paper cites Strominger connection and pluri-closed metrics.

Comparison theorems in Hermitian geometry I Strominger connection and pluri-closed metrics

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.239710Z

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Observation aedf9b8a-9c71-4f20-b863-1f800f07b153 · outbound

This paper cites Hermitian harmonic maps between almost Hermitian manifolds.

Comparison theorems in Hermitian geometry I Hermitian harmonic maps between almost Hermitian manifolds

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:56:07.220739Z

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Pith citing papers

Observation 1f1fcf96-39ad-4a71-b86c-d6e453d32827 · inbound

K\"ahlerness of compact Hermitian surfaces under semi-definite Strominger-Bismut-Ricci curvatures cites this paper.

K\"ahlerness of compact Hermitian surfaces under semi-definite Strominger-Bismut-Ricci curvatures Comparison theorems in Hermitian geometry I

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T11:19:25.231283Z

Source-reported events for the cited work

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Observation ffbf1376-6243-4cbb-9b47-0b2409cf7807 · inbound

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

First eigenvalue estimates on complete balanced Hermitian manifolds Comparison theorems in Hermitian geometry I

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T00:31:47.926556Z

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Unavailable: canonical work link unavailable.