Paper Citation Record · LEDGER

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary

As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2412.21008.

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pith.paper-citation-record.v1
2412.21008 v2

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measured 38 of 38 reference resolution

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T05:27:47.034437Z

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

Source: arxiv_reference, observed 2026-06-29T15:13:32.251321Z

Reference resolution

38 of 38 outbound references displayed

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Outbound references

Observation fbc58544-59fa-4bcb-9133-1e1dbc692ce9 · outbound

This paper cites an unresolved cited work.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 1

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Observation cc9883eb-9956-4001-9d52-4264c7fa3cd3 · outbound

This paper cites A note on the isoperimetric constant.Ann.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary A note on the isoperimetric constant.Ann

Reference 2

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Observation a30c8a54-8adb-40da-94f7-05471353c7b8 · outbound

This paper cites Geometry and spectra of compact Riemann surfaces.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Geometry and spectra of compact Riemann surfaces

Reference 3

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Observation 250f7cb2-1b1a-4d11-80f2-c7e7090540bd · outbound

This paper cites Isoperimetric control of the Steklov spectrum.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Isoperimetric control of the Steklov spectrum

Reference 4

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Observation 8ff3b4b0-40fe-40f1-aca4-7ec504eb60fa · outbound

This paper cites Some recent develop- ments on the Steklov eigenvalue problem.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Some recent develop- ments on the Steklov eigenvalue problem

Reference 5

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Observation 334df1c0-28e3-43fa-b938-c5f39f42b2c9 · outbound

This paper cites The Steklov spectrum and coarse discretizations of manifolds with boundary.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary The Steklov spectrum and coarse discretizations of manifolds with boundary

Reference 6

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Observation 2c1cafa3-1a36-47fb-9a48-eabbbf48e752 · outbound

This paper cites Sharp Steklov upper bound for submanifolds of revolution.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Sharp Steklov upper bound for submanifolds of revolution

Reference 7

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 8

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 9

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This paper cites an unresolved cited work.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 10

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Observation 0e6b556a-75ed-48da-8ab5-f8b5cd6f41e6 · outbound

This paper cites The first Steklov eigenvalue, conformal geometry, and minimal surfaces.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary The first Steklov eigenvalue, conformal geometry, and minimal surfaces

Reference 11

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Observation f964d059-4bcf-4b2b-90b4-41bd0b0a8c42 · outbound

This paper cites Shape optimization for the Steklov problem in higher dimensions.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Shape optimization for the Steklov problem in higher dimensions

Reference 12

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Observation e5f899cb-9527-4a44-b1d2-b8221b27d261 · outbound

This paper cites Upper bounds for Steklov eigenvalues on surfaces.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Upper bounds for Steklov eigenvalues on surfaces

Reference 13

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Observation 7160a054-3b55-4061-9c0a-84bba450381e · outbound

This paper cites Spectral geometry of the Steklov problem (survey article).

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Spectral geometry of the Steklov problem (survey article)

Reference 14

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Observation 8547405e-be56-4c04-9974-871513c0f3b7 · outbound

This paper cites Large Steklov eigenvalues on hyperbolic surfaces.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Large Steklov eigenvalues on hyperbolic surfaces

Reference 15

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Observation 2be2d00c-7c04-4b23-8ca4-995f87e92ddb · outbound

This paper cites Higher order Cheeger inequalities for Steklov eigen- values.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Higher order Cheeger inequalities for Steklov eigen- values

Reference 16

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This paper cites Non-simple systoles on random hyperbolic surfaces for large genus, 2023.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Non-simple systoles on random hyperbolic surfaces for large genus, 2023

Reference 17

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This paper cites Upper bounds for the Steklov eigenvalues on trees.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Upper bounds for the Steklov eigenvalues on trees

Reference 18

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This paper cites First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs

Reference 19

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Cheeger type inequalities associated with isocapacitary constants on graphs

Reference 20

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Observation f4cd077b-9cca-4303-a0f4-27ef122fbb69 · outbound

This paper cites Une in´ egalit´ e de Cheeger pour le spectre de Steklov.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Une in´ egalit´ e de Cheeger pour le spectre de Steklov

Reference 21

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Observation eb134059-2832-4045-871e-3ad5d2eac6db · outbound

This paper cites Variational aspects of Laplace eigenvalues on Riemannian surfaces.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Variational aspects of Laplace eigenvalues on Riemannian surfaces

Reference 22

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This paper cites The legacy of Vladimir Andreevich Steklov.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary The legacy of Vladimir Andreevich Steklov

Reference 23

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This paper cites Geometric analysis , volume 134 of Cambridge Studies in Advanced Mathematics.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Geometric analysis , volume 134 of Cambridge Studies in Advanced Mathematics

Reference 24

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 25

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 26

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This paper cites Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings

Reference 27

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This paper cites Integral and isocapacitary inequalities.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Integral and isocapacitary inequalities

Reference 28

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Observation 44cc22a0-9afb-42e8-bf96-69fda6b8b9db · outbound

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Unresolved cited work

Reference 29

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This paper cites Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus

Reference 30

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This paper cites Lower bounds for the first eigenvalue of the Steklov problem on graphs.Calc.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Lower bounds for the first eigenvalue of the Steklov problem on graphs.Calc

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:17:18.059897Z

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This paper cites Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:17:18.047708Z

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Observation a68f2d7e-d1b6-4ff1-8d86-ad200fa0678f · outbound

This paper cites Methods of modern mathematical physics.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Methods of modern mathematical physics

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:17:18.035769Z

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This paper cites Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps

Reference 34

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Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:17:18.024171Z

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Observation fea39ae3-c19f-4df2-a17b-46e3b0ca82c9 · outbound

This paper cites Inequalities for a classical eigenvalue problem.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Inequalities for a classical eigenvalue problem

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:17:18.010881Z

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Observation a02b6d51-7bb5-496d-819b-63a8f6136700 · outbound

This paper cites Prime geodesic theorem and closed geodesics for large genus.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Prime geodesic theorem and closed geodesics for large genus

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:17:17.959912Z

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Observation 3367d195-64b6-435b-b75e-698f8732ed4c · outbound

This paper cites Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 − ϵ.

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 − ϵ

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:17:17.998869Z

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Pith citing papers

Observation 859d1cf3-c954-4a98-82cc-b421c1270468 · inbound

Lower bounds for the low Steklov eigenvalues cites this paper.

Lower bounds for the low Steklov eigenvalues Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:13:32.253086Z

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