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Paper Citation Record · LEDGER

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.01171.

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pith.paper-citation-record.v1
2608.01171 v1

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measured 22 of 22 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:32.111629Z

measured 22 of 22 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation 25582e06-209d-413b-8fa5-28c206ccd72e · outbound

This paper cites Sharp geometric inequali- ties for closed hypersurfaces in manifolds with nonnegative Ricci curvature.Invent.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sharp geometric inequali- ties for closed hypersurfaces in manifolds with nonnegative Ricci curvature.Invent

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d98e9091-2b5c-486c-ae3a-918e8da46265 · outbound

This paper cites Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:22:32.025557Z digest=sha256:69d70355a60e0d59c9e80a45ed70725a23d55a0ad0c62bc4909dbb50a57fcfe9

Observation ef8170cd-6669-46c5-8fc2-5f2a7924ea9d · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Unresolved cited work

Reference 3

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doi, observed 2026-08-15T15:22:32.152404Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7d6613a5-258b-4dfc-8f10-d7da14989995 · outbound

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

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sobolev inequalities in manifolds with nonnegative curvature.Comm

Reference 4

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raw_fallback, observed 2026-08-15T15:22:32.660658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.035015Z digest=sha256:4b29d1e3142a55e84b59b9e02bf293648a1788ce1491ca60e6b61388df49b02a

Observation 0fa96696-d019-408d-bccf-4ee06e997891 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Unresolved cited work

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.040131Z digest=sha256:156e7f4338e82f52b1229948d98abee3cfbfe5fcac979d5ebc086081dd3d1807

Observation 2749d1a1-177e-4efe-b782-11b158a9238b · outbound

This paper cites On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.Math.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.Math

Reference 6

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation efa7e48c-58be-44f9-8490-347bb9b1dce9 · outbound

This paper cites Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

Reference 7

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verified exact
local_arxiv, observed 2026-08-15T15:22:32.398306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.049758Z digest=sha256:578d850ba74fc7a74ecb40e43523699ec307f0cc6ec71d38ca005f403238290f

Observation 30e3eec3-512b-4fe6-ba17-c50f39641b2c · outbound

This paper cites ¨Uber Kr¨ ummung und Windung geschlossener Raumkurven.Math.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature ¨Uber Kr¨ ummung und Windung geschlossener Raumkurven.Math

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7ee73af3-2354-46f1-b470-93b8f5ab1e9c · outbound

This paper cites Geometric analysis on weighted manifolds under lower 0-weighted Ricci curvature bounds.Nonlinear Anal., 263:Paper No.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Geometric analysis on weighted manifolds under lower 0-weighted Ricci curvature bounds.Nonlinear Anal., 263:Paper No

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.058466Z digest=sha256:6bc8e67e31862be4758451860ae931b381be1bbd54ad43c7d1ec92b0aae83f45

Observation f9847a2a-4ac7-4099-b291-8b98c25d2dc5 · outbound

This paper cites A general comparison theorem with applications to volume estimates for submanifolds.Ann.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature A general comparison theorem with applications to volume estimates for submanifolds.Ann

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:22:32.062888Z digest=sha256:39e200da0ead1fdbddfc1f316970349f1c8c779f2dd128b67142f1a0f70755e5

Observation de55890e-675a-4dc6-9369-0db654b7edfc · outbound

This paper cites Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature

Reference 11

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verified exact
local_arxiv, observed 2026-08-15T15:22:32.361731Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.067289Z digest=sha256:28fbe0865d1931f0e1f676094456e43431ed468a05580edb9f7874330e951da0

Observation 8e0461b0-c61a-4d93-9d23-cbcac7ebbd5f · outbound

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

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:22:32.337198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.071728Z digest=sha256:9ec9c4deb9518b89e3317c914b4db6fb1e9218d8cd9d643dda7adb6d75831ef0

Observation 4a371d5f-69ff-4c16-b093-51d5a76f2c7d · outbound

This paper cites A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds.Ann.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds.Ann

Reference 13

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.076176Z digest=sha256:07cf3d20602a8447a3d76aa60f9edafb5ebcb0ee705ea7678e82193881230874

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

This paper cites A comparison theorem with applications to sharp geometric inequalities for submanifolds.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.080199Z digest=sha256:01058704d81e83e2ddc624a9ad0d1a326131c1c7ddff370061c46eafcf0240b3

Observation 4a752880-a585-4e1c-915c-e4145e2a17cd · outbound

This paper cites Springer, 2016.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Springer, 2016

Reference 15

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raw_fallback, observed 2026-08-15T15:22:32.547835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.083972Z digest=sha256:2fb0a47bb7f6a8ae92874b59e78d0e42a45a30640b5bb8f5ec3ed86e7ba95e19

Observation 4c5dd9f4-766f-4de0-ab37-00791c2fc128 · outbound

This paper cites A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature

Reference 16

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local_arxiv, observed 2026-08-15T15:22:32.290528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.087365Z digest=sha256:3ddf310db4ead0eb3d9207364e4a740c304adb8867cb17d9bb3ae6ef38d8319c

Observation e501d83b-73b0-41ee-85d3-4022d2567017 · outbound

This paper cites Remark on a geometric inequality for closed hypersurfaces in weighted mani- folds.arXiv:2510.26062, 2025.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Remark on a geometric inequality for closed hypersurfaces in weighted mani- folds.arXiv:2510.26062, 2025

Reference 17

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raw_fallback, observed 2026-08-15T15:22:32.268777Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.091049Z digest=sha256:9e37cf91bd7e2065aeeeed7357d06e7afa66647a370188a0a3c45df41d9a5847

Observation f4ba07d4-3635-4499-a5bb-b04931a78e1f · outbound

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

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature.Ann

Reference 18

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raw_fallback, observed 2026-08-15T15:22:32.527863Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.095522Z digest=sha256:f9a4df4f28d670d4befb2e5a2b675c3abc4ea8a842108ba66b37d239a1790139

Observation cfc90794-db99-4fcf-b9d6-5482c8c5e51f · outbound

This paper cites Al. I. Cuza.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Al. I. Cuza

Reference 19

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raw_fallback, observed 2026-08-15T15:22:32.510712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.099475Z digest=sha256:a5894d656c68a6c9064a74dfafd6efcf0e74c2081fc26f4e31fa25e486006cb6

Observation 8a1d3d6e-066c-40bd-a879-b852c17a21d8 · outbound

This paper cites Willmore-type inequalities for closed hypersurfaces in weighted manifolds.J.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Willmore-type inequalities for closed hypersurfaces in weighted manifolds.J

Reference 20

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.103784Z digest=sha256:a3456962e5d23683a1e0be1b43e9e8a727c7ce7ce8b505b1f7d5fc724ac647d5

Observation d3abad9b-e0f8-4c36-a48d-f64646a77eb5 · outbound

This paper cites Sectional curvature for Riemannian manifolds with density.Geom.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sectional curvature for Riemannian manifolds with density.Geom

Reference 21

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.107633Z digest=sha256:4115622f41cbeba6f028dde0eb8fe137d29a225935617520f967d0d9b3a73019

Observation b2b65982-e70e-4f08-9436-fab28ed91ce9 · outbound

This paper cites On the geometry of Riemannian manifolds with density.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature On the geometry of Riemannian manifolds with density

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:22:32.111629Z digest=sha256:1263a4f36d62076d33e0d5d90a12f9766d6e6a2e873c817062a4290997e26781

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