Paper Citation Record · LEDGER

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.16025.

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2607.16025 v1

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measured 26 of 26 reference resolution

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Outbound references

Observation 8e168aaa-0bdc-41be-9de5-a9a69e656149 · outbound

This paper cites Full capacity–volumetry of sharp exp-integrability law.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Full capacity–volumetry of sharp exp-integrability law

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:06.408992Z

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Observation 08e63abf-1bef-4cf9-afec-5a2e2c94eaae · outbound

This paper cites On the capacity of surfaces in manifolds with nonnegative scalar curvature.Inventiones mathematicae, 172(3):459–475, 2008.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below On the capacity of surfaces in manifolds with nonnegative scalar curvature.Inventiones mathematicae, 172(3):459–475, 2008

Reference 2

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Observation a7e8c8fe-6d63-44f9-9680-2f4077df55d8 · outbound

This paper cites Boundaries of zero scalar curvature in the ads/cft.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Boundaries of zero scalar curvature in the ads/cft

Reference 3

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Observation d7f17ffd-cec7-4206-a660-187ca2b708b2 · outbound

This paper cites Minimising hulls, p-capacity and isoperi- metric inequality on complete riemannian manifolds.Journal of Functional Analysis, 283(9):109638, 2022.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Minimising hulls, p-capacity and isoperi- metric inequality on complete riemannian manifolds.Journal of Functional Analysis, 283(9):109638, 2022

Reference 4

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Observation 2cdbeb54-4b7d-4909-a22c-95c592b6c406 · outbound

This paper cites Isoperimetric inequalities and capacities on riemannian manifolds.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Isoperimetric inequalities and capacities on riemannian manifolds

Reference 5

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Observation 6e2e0825-c92e-4ef3-9a12-59458465ad17 · outbound

This paper cites The relative volume function and the capacity of sphere on asymptotically hyperbolic manifolds.Acta Mathematica Scientia, 45(3):755–770, 2025.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below The relative volume function and the capacity of sphere on asymptotically hyperbolic manifolds.Acta Mathematica Scientia, 45(3):755–770, 2025

Reference 6

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Observation 703916b7-d21e-4884-92be-eb841e837406 · outbound

This paper cites Estimate for the first Dirichlet eigenvalue ofp−Laplacian on non-compact manifolds, 2026.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Estimate for the first Dirichlet eigenvalue ofp−Laplacian on non-compact manifolds, 2026

Reference 7

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Observation bbb8806d-3c6b-4d87-8481-81f9071fda77 · outbound

This paper cites Principalp−frequency estimates on non-compact mani- folds with negative Ricci curvature, 2026.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Principalp−frequency estimates on non-compact mani- folds with negative Ricci curvature, 2026

Reference 8

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Observation a82db742-fe12-4207-9ee6-588505ddb70e · outbound

This paper cites Sharp estimates for capacities-to- quermassintegrals within hyperbolic space.Submitted, 2026.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Sharp estimates for capacities-to- quermassintegrals within hyperbolic space.Submitted, 2026

Reference 9

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Observation ebc38476-aa9a-4cbd-805c-9b19140a186b · outbound

This paper cites Essential p-capacity-volume estimates for rotationally sym- metric manifolds.Advances in Mathematics, 482:110603, 2025.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Essential p-capacity-volume estimates for rotationally sym- metric manifolds.Advances in Mathematics, 482:110603, 2025

Reference 10

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Observation f45afc25-84cf-4cbf-82c6-93fcbd730ad8 · outbound

This paper cites Sharply estimating hyperbolic capacities.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Sharply estimating hyperbolic capacities

Reference 11

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Observation 5db74a29-ca84-4c6e-924e-bcb340a7f6e9 · outbound

This paper cites Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below

Reference 12

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Observation 16405815-a623-48bf-b7b8-05902f8fca8b · outbound

This paper cites Ricci curvature, geodesics and some geometric properties of riemannian manifolds with boundary.Journal of the Mathematical Society of Japan, 35(1):117–131, 1983.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Ricci curvature, geodesics and some geometric properties of riemannian manifolds with boundary.Journal of the Mathematical Society of Japan, 35(1):117–131, 1983

Reference 13

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Observation c3383713-2fe8-4a08-8ab5-9f4c19c5e92e · outbound

This paper cites Capacity of condensers and spatial mappings quasiconformal in the mean.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Capacity of condensers and spatial mappings quasiconformal in the mean

Reference 14

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Observation 5c38b341-9bff-4222-a0bf-8b2584ad9d3b · outbound

This paper cites Sharp upper bounds for the capacity in the hyperbolic and euclidean spaces.Advances in Nonlinear Analysis, 14(1):20250068, 2025.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Sharp upper bounds for the capacity in the hyperbolic and euclidean spaces.Advances in Nonlinear Analysis, 14(1):20250068, 2025

Reference 15

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Observation 6e0f9ef5-2552-4f5f-8bae-8f1919be44e4 · outbound

This paper cites Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality

Reference 16

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Observation a4ccdee5-33df-4b55-bbfa-915479b4853c · outbound

This paper cites Springer, 2013.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Springer, 2013

Reference 17

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Observation f20830a5-8a9b-47e6-8c60-42ebd8d53a99 · outbound

This paper cites Implications of some mass-capacity inequalities.The Journal of Geometric Analysis, 34(8):241, 2024.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Implications of some mass-capacity inequalities.The Journal of Geometric Analysis, 34(8):241, 2024

Reference 18

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Observation 7c5c9097-4bc8-4a91-9b7e-86b76b437a25 · outbound

This paper cites Mass, capacitary functions, and the mass-to-capacity ratio: P.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Mass, capacitary functions, and the mass-to-capacity ratio: P

Reference 19

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Observation e8dd537b-126c-4a06-adc6-ef17f2dc7749 · outbound

This paper cites Adm mass, area and capacity in asymptotically flat 3-manifolds with nonnegative scalar curvature.Communications in Contemporary Mathematics, 27(09):2550011, 2025.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Adm mass, area and capacity in asymptotically flat 3-manifolds with nonnegative scalar curvature.Communications in Contemporary Mathematics, 27(09):2550011, 2025

Reference 20

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Observation 37841d7b-e53c-47e4-ba36-e3047d71d40b · outbound

This paper cites Area, volume, and capacity in non-compact 3-manifolds with non- negative scalar curvature.International Mathematics Research Notices, 2025(18):rnaf282, 2025.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Area, volume, and capacity in non-compact 3-manifolds with non- negative scalar curvature.International Mathematics Research Notices, 2025(18):rnaf282, 2025

Reference 21

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Observation ac86656e-f329-4242-960e-6d542abaaa34 · outbound

This paper cites Isoperimetric inequalities in mathematical physics.(am-27), 1951.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Isoperimetric inequalities in mathematical physics.(am-27), 1951

Reference 22

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Observation cb554747-08ad-45b8-b89e-1d4e7be6e2bb · outbound

This paper cites New monotonicity for p-capacitary functions in 3-manifolds with nonnegative scalar curvature.Advances in Mathematics, 440:109526, 2024.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below New monotonicity for p-capacitary functions in 3-manifolds with nonnegative scalar curvature.Advances in Mathematics, 440:109526, 2024

Reference 23

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Observation b94b3f94-2237-48fb-947d-52ac5f7db3aa · outbound

This paper cites The p-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below The p-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature

Reference 24

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Observation c85a942d-cddf-4413-b6be-c9772e03fd7a · outbound

This paper cites P-capacity vs surface-area.Advances in Mathematics, 308:1318–1336, 2017.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below P-capacity vs surface-area.Advances in Mathematics, 308:1318–1336, 2017

Reference 25

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Observation e02c036f-4538-4456-b24b-5eceae29927f · outbound

This paper cites Sharp upper bounds of p-capacity in convex cone and asymptotically flat half-space.Letters in Mathematical Physics, 116(2):34, 2026.

Estimates of $p$-capacity for manifolds with Ricci curvature bounded from below Sharp upper bounds of p-capacity in convex cone and asymptotically flat half-space.Letters in Mathematical Physics, 116(2):34, 2026

Reference 26

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