Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:32.111629Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.01171.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:32.111629Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
22 of 22 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 25582e06-209d-413b-8fa5-28c206ccd72e · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d98e9091-2b5c-486c-ae3a-918e8da46265 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef8170cd-6669-46c5-8fc2-5f2a7924ea9d · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7d6613a5-258b-4dfc-8f10-d7da14989995 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sobolev inequalities in manifolds with nonnegative curvature.Comm
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0fa96696-d019-408d-bccf-4ee06e997891 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2749d1a1-177e-4efe-b782-11b158a9238b · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.Math
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation efa7e48c-58be-44f9-8490-347bb9b1dce9 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 30e3eec3-512b-4fe6-ba17-c50f39641b2c · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature ¨Uber Kr¨ ummung und Windung geschlossener Raumkurven.Math
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7ee73af3-2354-46f1-b470-93b8f5ab1e9c · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f9847a2a-4ac7-4099-b291-8b98c25d2dc5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de55890e-675a-4dc6-9369-0db654b7edfc · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8e0461b0-c61a-4d93-9d23-cbcac7ebbd5f · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4a371d5f-69ff-4c16-b093-51d5a76f2c7d · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation df5a369f-8c30-4ceb-826d-c48211a6148c · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4a752880-a585-4e1c-915c-e4145e2a17cd · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Springer, 2016
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4c5dd9f4-766f-4de0-ab37-00791c2fc128 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e501d83b-73b0-41ee-85d3-4022d2567017 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f4ba07d4-3635-4499-a5bb-b04931a78e1f · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cfc90794-db99-4fcf-b9d6-5482c8c5e51f · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Al. I. Cuza
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8a1d3d6e-066c-40bd-a879-b852c17a21d8 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Willmore-type inequalities for closed hypersurfaces in weighted manifolds.J
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d3abad9b-e0f8-4c36-a48d-f64646a77eb5 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Sectional curvature for Riemannian manifolds with density.Geom
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b2b65982-e70e-4f08-9436-fab28ed91ce9 · outbound
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature On the geometry of Riemannian manifolds with density
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.