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Paper Citation Record · LEDGER

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.12063.

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pith.paper-citation-record.v1
2606.12063 v1

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measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T08:22:34.404523Z

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29 of 29 outbound references displayed

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Outbound references

Observation a49e1423-c175-48c2-a79e-359c66e701de · outbound

This paper cites an unresolved cited work.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Unresolved cited work

Reference 1

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Observation 6843d9d9-3754-4c5f-81cf-1ff693b5db44 · outbound

This paper cites Carron, In´ egalit´ es isop´ erim´ etriques de Faber-Krahn et cons´ equences, Publications de l’lnstitut Fourier, 220, 1992.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Carron, In´ egalit´ es isop´ erim´ etriques de Faber-Krahn et cons´ equences, Publications de l’lnstitut Fourier, 220, 1992

Reference 2

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Observation adbfb53b-aa11-422f-a16e-d5a430d50c1d · outbound

This paper cites Cheeger, Degeneration of Riemannian Metrics under Ricci Curvature Bounds, Lezioni Fermiane (Fermi Lectures), Scuola Normale Superiore, Pisa, 2001.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Cheeger, Degeneration of Riemannian Metrics under Ricci Curvature Bounds, Lezioni Fermiane (Fermi Lectures), Scuola Normale Superiore, Pisa, 2001

Reference 3

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Observation 0fa8585c-5a5b-4233-a347-e6b0ea7bd4fc · outbound

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Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Unresolved cited work

Reference 4

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Observation 3cc698e6-38c9-470b-a415-f2db6c8824f1 · outbound

This paper cites Do, D.-B.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Do, D.-B

Reference 5

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source=pdf_text observed=2026-06-27T08:22:34.404523Z digest=sha256:c6cf473c562f72c5ffc2318fcd27a8c6bcdce21d416cb97671f57ad3e016bf85

Observation b375cee5-b868-4abb-9b3b-30b450dff876 · outbound

This paper cites Grafakos, Classical Fourier Analysis, Third Edition, GTM 249, Springer, New York, 2014.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Grafakos, Classical Fourier Analysis, Third Edition, GTM 249, Springer, New York, 2014

Reference 6

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Observation baf92e2e-5c96-4af9-9fba-e2b07bd1d074 · outbound

This paper cites Guedj, H.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guedj, H

Reference 7

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Observation 9920799b-eb77-4811-baa6-4cbc744ece5b · outbound

This paper cites Guedj and C.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guedj and C

Reference 8

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Observation d88fc3d5-9d6e-4144-89a5-2c144f3b9695 · outbound

This paper cites Guedj and T.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guedj and T

Reference 9

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Observation 903fbcc5-8b56-44d3-ab30-8febcc638e5b · outbound

This paper cites Guo, D.H.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guo, D.H

Reference 10

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Observation d7cd54c7-67e4-4ee6-900a-11e5c88ffd95 · outbound

This paper cites Guo, D.H.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guo, D.H

Reference 11

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Observation 29fcd077-83ff-43c2-ae38-a29530ac7916 · outbound

This paper cites Guo, D.H.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guo, D.H

Reference 12

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Observation 03cf2ed7-0095-421c-8dc6-6fa390b6dd78 · outbound

This paper cites Sobolev inequalities on K\"ahler spaces.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Sobolev inequalities on K\"ahler spaces

Reference 13

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Observation 9f176f8f-334e-4f52-951d-facccfd8f713 · outbound

This paper cites Guo, D.H.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guo, D.H

Reference 14

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Observation 8451e930-5f7f-45f6-b9c1-400e31c6e2ac · outbound

This paper cites Guo, D.H.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guo, D.H

Reference 15

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Observation cb970b6d-3a13-4c07-b3f8-e14e9863b3eb · outbound

This paper cites Guo and J.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Guo and J

Reference 16

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Observation bfc7e48d-c490-468d-8172-00307bb1296f · outbound

This paper cites Hebey, Nonlinear analysis on manifolds: Sobolev spaces and inequalities, Courant Lecture Notes in Mathematics, 5, New York Univ., Courant Inst.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Hebey, Nonlinear analysis on manifolds: Sobolev spaces and inequalities, Courant Lecture Notes in Mathematics, 5, New York Univ., Courant Inst

Reference 17

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Observation ede9a707-e0fd-49e8-b4b0-a0adda225a2e · outbound

This paper cites Le, Analysis of Monge-Amp` ere equations, Grad.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Le, Analysis of Monge-Amp` ere equations, Grad

Reference 18

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Observation 7c381651-d1da-4b8d-92f5-e821a7f03c1a · outbound

This paper cites Li, Geometric Analysis, Cambridge Stud.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Li, Geometric Analysis, Cambridge Stud

Reference 19

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Observation 3684eab6-0fca-46e8-af54-6fd22ec9ba47 · outbound

This paper cites On relative $L^\infty$ estimate for complex Monge-Amp\`ere equations.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound On relative $L^\infty$ estimate for complex Monge-Amp\`ere equations

Reference 20

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source=pdf_text observed=2026-06-27T08:22:34.404523Z digest=sha256:acd44863fa23b2c1db5639f1a2a14f309af688c09fb71fd9604046cfe1144590

Observation 8751795a-2fcf-4592-893b-03c1c5d0c6b5 · outbound

This paper cites Uniform diameter estimates for Kaehler metrics in big cohomology classes.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Uniform diameter estimates for Kaehler metrics in big cohomology classes

Reference 21

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source=pdf_text observed=2026-06-27T08:22:34.404523Z digest=sha256:8286df7cb34781b960094d3a689656497efbe23d555b9396bfee1704c8a58b12

Observation 739b0802-5a11-4119-8bcb-fd95f37de0c9 · outbound

This paper cites Tian, On K¨ ahler-Einstein metrics on certain K¨ ahler manifolds withC1(M)>0, Invent.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Tian, On K¨ ahler-Einstein metrics on certain K¨ ahler manifolds withC1(M)>0, Invent

Reference 22

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Observation 7d8354f8-6c71-4b2f-9168-a5bf22ec3a46 · outbound

This paper cites Tian and X.J.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Tian and X.J

Reference 23

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Observation 98831175-04a5-4a60-b891-7cff34f9ae4d · outbound

This paper cites Vu, Uniform diameter and non-collapsing estimates for K¨ ahler metrics, J.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Vu, Uniform diameter and non-collapsing estimates for K¨ ahler metrics, J

Reference 24

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Observation 5c851ddb-95af-46c4-a22c-23cef87609e3 · outbound

This paper cites Wang and B.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Wang and B

Reference 25

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Observation 1514ead9-e8e6-46f6-a788-ca927e02bb22 · outbound

This paper cites Yau, On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation, I, Comm.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Yau, On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation, I, Comm

Reference 26

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Observation 467b7440-bae2-40f3-ac34-40eeb2251296 · outbound

This paper cites Complex Monge-Amp\`ere equation in Orlicz space and Diameter Bound.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Complex Monge-Amp\`ere equation in Orlicz space and Diameter Bound

Reference 27

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Observation 9c640c58-99b0-494a-a192-77ddf86b0f38 · outbound

This paper cites Zhang, Sobolev inequalities, heat kernels under Ricci flow and the Poincar´ e conjecture, CRC- Press, Boca Raton, FL, 2011.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Zhang, Sobolev inequalities, heat kernels under Ricci flow and the Poincar´ e conjecture, CRC- Press, Boca Raton, FL, 2011

Reference 28

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Observation 1808124c-960c-41e5-bae2-4d1a98e1315a · outbound

This paper cites Zhang and Y.S.

Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound Zhang and Y.S

Reference 29

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