Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:55:37.388485Z
Paper Citation Record · LEDGER
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds
As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2508.20298.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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
Reference resolution
22 of 22 outbound references displayed
- verified exact2
- verified fuzzy15
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cbb72e01-d82a-47ff-b719-736da0855fd3 · outbound
This paper cites Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.636562Z
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 eed09d9f-f0fa-4bd5-8dd6-666d61bf973c · outbound
This paper cites Finiteness of π1 and geometric inequalities in almost positive Ricci curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Finiteness of π1 and geometric inequalities in almost positive Ricci curvature
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.627049Z
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 73774f72-9013-400c-a18e-8c47c139ca0b · outbound
This paper cites Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:55:37.319694Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4aadc96b-54c2-4c58-8671-7782107fb895 · outbound
This paper cites Galloway.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Galloway
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.617398Z
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 e97fcedf-4d24-4816-9230-8ddd56e8a4c5 · outbound
This paper cites On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.607836Z
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 c461b0d8-06d5-4e4f-b4fe-6a503906d02e · outbound
This paper cites Improved relative volume comparison for integral Ricci curvature and applications to volume entropy.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Improved relative volume comparison for integral Ricci curvature and applications to volume entropy
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.597930Z
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 f286568c-f280-4e2e-b076-19cbbca1a977 · outbound
This paper cites A heat kernel lower bound for integral Ricci curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds A heat kernel lower bound for integral Ricci curvature
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.587951Z
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 7622cf96-2ef8-4c71-9f18-acfa5fe1c429 · outbound
This paper cites Sobolev inequalities in manifolds with asymptotically nonnegative curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Sobolev inequalities in manifolds with asymptotically nonnegative curvature
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.578245Z
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 5ef913f0-76b9-4e4a-8b4a-79c19c143504 · outbound
This paper cites Isoperimetric inequalities based on integral norms of Ricci cur- vature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Isoperimetric inequalities based on integral norms of Ricci cur- vature
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.568772Z
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 a86893de-87da-4e58-a069-6508542c8ce3 · outbound
This paper cites Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:55:37.347001Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 801807f5-6cf2-4568-88b4-1017a8aa698b · outbound
This paper cites Willmore-type in- equality in unbounded convex sets.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Willmore-type in- equality in unbounded convex sets
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.558504Z
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 dcc5ec80-b7e5-47d5-ae74-4baaf439c924 · outbound
This paper cites Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:55:37.354490Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17c5facb-d6dd-4e11-9390-490f4ddd7750 · outbound
This paper cites Ricci curvature, geodesics and some geometric properties of Rie- mannian manifolds with boundary.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Ricci curvature, geodesics and some geometric properties of Rie- mannian manifolds with boundary
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.547918Z
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 4a5b9b26-5f6c-4250-8308-573d96ce6031 · outbound
This paper cites Isoperimetric profile function comparisons with Integral Ricci curvature bounds.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Isoperimetric profile function comparisons with Integral Ricci curvature bounds
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T16:55:37.447624Z
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 b62c7be8-373c-4657-a9dc-675a2258efa5 · outbound
This paper cites The log-Sobolev inequality for a submanifold in mani- folds with asymptotic non-negative intermediate Ricci curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds The log-Sobolev inequality for a submanifold in mani- folds with asymptotic non-negative intermediate Ricci curvature
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.537946Z
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 b15141e8-b734-4bfa-8fbf-ad8035c1f729 · outbound
This paper cites Petersen and G.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Petersen and G
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.527000Z
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 57550a64-4ede-4340-8669-810a910588b2 · outbound
This paper cites Integral curvature bounds, distance esti- mates and applications.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Integral curvature bounds, distance esti- mates and applications
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.516624Z
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 76aaf8dd-eeee-4266-adf9-b7de01f58466 · outbound
This paper cites an unresolved cited work.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T16:55:37.506827Z
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 d77ff84d-5ec4-4267-92ee-0e3a069c5564 · outbound
This paper cites A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:55:37.377648Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd30be8b-7fdc-4f30-aca0-2576eac183a2 · outbound
This paper cites Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.497060Z
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 74b7012f-957e-4c2f-be9c-7049f18a68af · outbound
This paper cites Al. I. Cuza.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Al. I. Cuza
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:55:37.487013Z
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 b1019523-6e47-4987-9307-2dc017afbdb7 · outbound
This paper cites Willmore-type inequalities for closed hypersurfaces in weighted manifolds.
A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Willmore-type inequalities for closed hypersurfaces in weighted manifolds
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T16:55:37.422866Z
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.
Pith citing papers
No inbound Pith citation observations are available.