Paper Citation Record · LEDGER

A comparison theorem with applications to sharp geometric inequalities for submanifolds

As of 19 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2605.06074.

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

pith.paper-citation-record.v1
2605.06074 v2

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T14:59:33.428056Z

measured 46 of 46 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:32.080199Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-15T15:22:32.308579Z

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation 2ca0935d-4521-4052-be15-e8c281a37d3c · outbound

This paper cites Agostiniani, M.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Agostiniani, M

Reference 1

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Observation a4479470-711a-45f9-a148-1bb072bfb364 · outbound

This paper cites an unresolved cited work.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 2

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Observation 07f265e5-06d2-4c3b-9d6e-d7a30f0faace · outbound

This paper cites an unresolved cited work.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 3

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Observation 5b1ad589-d057-4090-9bfa-a2ba4dd35d50 · outbound

This paper cites Borsuk, Sur la courbure totale des courbes fermées, Ann.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Borsuk, Sur la courbure totale des courbes fermées, Ann

Reference 4

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Observation 888bbeef-f49a-457f-a396-04f7c4948d13 · outbound

This paper cites Brendle, Constant mean curvature surfaces in warped product manifolds, Publ.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Brendle, Constant mean curvature surfaces in warped product manifolds, Publ

Reference 5

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Observation 9ce48ba4-78b7-4ae0-a90e-4906152cc342 · outbound

This paper cites Brendle, The isoperimetric inequality for a minimal submanifold in Euclidean space, J.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Brendle, The isoperimetric inequality for a minimal submanifold in Euclidean space, J

Reference 6

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Observation 1e8167a2-f9bc-4676-81e7-d46dde42dbfd · outbound

This paper cites Brendle, Sobolev inequalities in manifolds with nonnegative curvature, Comm.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Brendle, Sobolev inequalities in manifolds with nonnegative curvature, Comm

Reference 7

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Observation c7cdf6c0-5128-497f-973d-567eb7f05771 · outbound

This paper cites Geometric inequalities and the Alexandrov-Bakelman-Pucci technique.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

Reference 8

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Observation e1a3a966-ce8e-443c-896f-e12aca566d16 · outbound

This paper cites Brickell and C.-C.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Brickell and C.-C

Reference 9

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Observation 6113f0a8-1d43-40c9-853e-1a29aca08229 · outbound

This paper cites Cederbaum and A.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Cederbaum and A

Reference 10

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Observation 172ca041-8e04-43db-93a7-5aa6f8e9f9cb · outbound

This paper cites Cheeger and D.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Cheeger and D

Reference 11

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Observation 792b82e2-d3cd-4830-915c-897488dbc463 · outbound

This paper cites Chen, On an inequality of T.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Chen, On an inequality of T

Reference 12

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Observation 13788b97-317c-4a08-93da-43dd29e29cdd · outbound

This paper cites Chen, On the total curvature of immersed manifolds.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Chen, On the total curvature of immersed manifolds

Reference 13

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Observation e80911d9-5d9d-47af-8995-74b6f8565b86 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 14

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Observation 4c712574-aefd-4320-a1af-fefc8e3eb45d · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 15

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Observation 43c210c0-5e63-42f7-8cee-a32291a6e11a · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 16

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Observation 4b67b849-ff3d-4540-9bba-daecdd91e946 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 17

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Observation 83d5e167-947f-4835-ae4a-812a5d5468b1 · outbound

This paper cites Cordero-Erausquin, R.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Cordero-Erausquin, R

Reference 18

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Observation b44d6002-23c5-40c5-a2b0-2e4d22161cc5 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 19

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Observation a1c5904e-f0fc-498e-9112-cf98f75bb42c · outbound

This paper cites Domínguez-Vázquez, D.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Domínguez-Vázquez, D

Reference 20

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Observation be52492b-fe75-47c5-8f7b-097e9ba52486 · outbound

This paper cites Eguchi and A.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Eguchi and A

Reference 21

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Observation 4574012f-7464-463a-ad7f-ae81415a3d17 · outbound

This paper cites Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math

Reference 22

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Observation 2a9a9b75-943c-4944-a7b4-f668665954c8 · outbound

This paper cites Fáry, Sur la courbure totale d’une courbe gauche faisant un nœud, Bull.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Fáry, Sur la courbure totale d’une courbe gauche faisant un nœud, Bull

Reference 23

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Observation abe48606-ca72-4e01-8734-b4f84be1dcd2 · outbound

This paper cites Fogagnolo and A.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Fogagnolo and A

Reference 24

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Observation 13c991f8-f80f-4540-a97c-26c47c563822 · outbound

This paper cites Heintze and H.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Heintze and H

Reference 25

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Observation 65d244e5-daab-4e70-be0b-7c42a798da30 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 26

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Observation d4f55acf-83d0-4e86-ae6f-13bdab07a4cd · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 27

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Observation bb59d55a-f2cb-464c-9d0d-3ec981a3637e · outbound

This paper cites Itoh and M.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Itoh and M

Reference 28

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Observation 0d6752cf-f1be-4ab6-958e-27c9868ab2e7 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 29

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Observation a0cc8360-dc6a-444f-bad3-a32b38ae5a38 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 30

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Observation 70790eb9-002d-4464-9008-4aef066e125f · outbound

This paper cites Ketterer and A.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Ketterer and A

Reference 31

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Observation 0372f53c-77e3-4965-afbc-1a2c343bbcb9 · outbound

This paper cites Li and C.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Li and C

Reference 32

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Observation b7b8728d-d0f0-433f-94af-893cab98ec3f · outbound

This paper cites Lee and F.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Lee and F

Reference 33

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Observation 04250dfe-d15d-4afb-aac4-f10b7c11f6c9 · outbound

This paper cites Ma and J.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Ma and J

Reference 34

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Observation 0d14372f-5b25-4965-9c9d-42818e633a2d · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 35

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Observation 2fb12e21-4355-4182-ab36-522e3fe6a306 · outbound

This paper cites Mouillé, Torus actions on manifolds with positive intermediate Ricci curvature, J.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Mouillé, Torus actions on manifolds with positive intermediate Ricci curvature, J

Reference 36

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Observation 20595158-56e5-40be-a303-cb0b60d6f1b2 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 37

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Observation 2ec45bdc-763b-43dc-a752-cfe4694ddd03 · outbound

This paper cites Petersen, Riemannian geometry, third edition, Graduate Texts in Mathematics, 171, Springer, Cham, 2016.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Petersen, Riemannian geometry, third edition, Graduate Texts in Mathematics, 171, Springer, Cham, 2016

Reference 38

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Observation 50a5f051-aa09-4515-82b2-ea7d7ab5e925 · outbound

This paper cites Reiser and D.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Reiser and D

Reference 39

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Observation 39b7b9cd-636a-4640-8f09-27fb44026528 · outbound

This paper cites Ros, Compact hypersurfaces with constant higher order mean curvatures, Rev.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Ros, Compact hypersurfaces with constant higher order mean curvatures, Rev

Reference 40

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Observation 649d843f-b09b-41dc-b28e-f3c5a63599fe · outbound

This paper cites Shen, On complete manifolds of nonnegative kth-Ricci curvature, Trans.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Shen, On complete manifolds of nonnegative kth-Ricci curvature, Trans

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T14:59:33.142488Z

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Observation 57222a8d-da27-49e1-acb6-7008e498e9f0 · outbound

This paper cites Wang, Optimal transport approach to Michael-Simon-Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds, Ann.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Wang, Optimal transport approach to Michael-Simon-Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds, Ann

Reference 42

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Observation f955b0e4-8c30-4cbf-9b69-6d11dd83e408 · outbound

This paper cites Wang, Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature, Ann.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Wang, Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature, Ann

Reference 43

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Observation a2fb115e-1aaa-4d50-b492-aa330b836097 · outbound

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A comparison theorem with applications to sharp geometric inequalities for submanifolds Unresolved cited work

Reference 44

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Observation 1ac71cdf-d002-4e44-9972-70f168772046 · outbound

This paper cites Al. I. Cuza.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Al. I. Cuza

Reference 45

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Pith citing papers

Observation df5a369f-8c30-4ceb-826d-c48211a6148c · inbound

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature cites this paper.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature A comparison theorem with applications to sharp geometric inequalities for submanifolds

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:22:32.313359Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.