Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:44:11.161974Z
Paper Citation Record · LEDGER
New Heintze-Karcher type inequalities in sub-static warped product manifolds
As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2504.15109.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:45:54.091609Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T15:04:39.462493Z
Reference resolution
28 of 28 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fa2afa18-ee28-4f9d-bd6e-7e9c90d0fd8f · outbound
This paper cites Alexandrov,Uniqueness theorems for surfaces in the large I, Vestn.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Alexandrov,Uniqueness theorems for surfaces in the large I, Vestn
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.430645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 741043e9-d702-472c-b00b-53fa50962e3b · outbound
This paper cites Andrews,Contraction of convex hypersurfaces in Riemannian spaces, J.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Andrews,Contraction of convex hypersurfaces in Riemannian spaces, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.422116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 158fdb68-6f42-4993-bb06-16c2e21c2e11 · outbound
This paper cites Andrews, X.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Andrews, X
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.413802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 11ae4cee-95c2-422f-9030-b87f2d3518b5 · outbound
This paper cites Brendle,Constant mean curvature surfaces in warped product manifolds, Publications math´ ematiques de l’IH´ES117(2013), 247–269.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Brendle,Constant mean curvature surfaces in warped product manifolds, Publications math´ ematiques de l’IH´ES117(2013), 247–269
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.405528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 51bc7d70-0e9d-444d-9224-2ce8e5dd47de · outbound
This paper cites Brendle and G.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Brendle and G
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.397369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d7a7f9d5-0f8c-405a-9156-9e394dc0d32d · outbound
This paper cites Brendle, P.-K.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Brendle, P.-K
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.388940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 86b4fe97-91d7-43d5-a1a2-5e72596f2ea4 · outbound
This paper cites Brendle and M.-T.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Brendle and M.-T
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.381065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ab3aa420-f437-4dd5-a905-c542e97ab37a · outbound
This paper cites an unresolved cited work.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:44:11.371046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation da665226-d1ab-4dfd-aade-6cddf541c1fd · outbound
This paper cites an unresolved cited work.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:44:11.362844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b733ffd6-3f30-45ad-9e9f-9b3b90e132f7 · outbound
This paper cites Guan,Curvature measures, isoperimetric type inequalities and fully nonlinear PDEs, Fully nonlinear PDEs in real and complex geometry and optics, Lecture Notes in Math., vol.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Guan,Curvature measures, isoperimetric type inequalities and fully nonlinear PDEs, Fully nonlinear PDEs in real and complex geometry and optics, Lecture Notes in Math., vol
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.354390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c4094c88-efcc-4c48-9bb6-bc9852ad88db · outbound
This paper cites an unresolved cited work.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:44:11.345569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5a0de8ad-c4d4-46c7-bf84-2f910edf5e6a · outbound
This paper cites Heintze and H.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Heintze and H
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.336834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8eaf83a3-f981-43f6-968a-48e05edd5f15 · outbound
This paper cites Hu and H.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Hu and H
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.328648Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5f3e35cb-a1d3-4788-a857-864dbe02a736 · outbound
This paper cites an unresolved cited work.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:44:11.320404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 067b79c0-eda5-4c68-8599-c1346e46b31b · outbound
This paper cites an unresolved cited work.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:44:11.312087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 062284cb-e4c6-47a9-875e-dfe8c1c75a37 · outbound
This paper cites Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:44:11.126350Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e004ce0f-7670-4b02-a197-9cd9e06901f0 · outbound
This paper cites Li and C.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Li and C
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.303455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 27daacef-e348-43b7-b7d9-9ecf752fc07f · outbound
This paper cites Li and L.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Li and L
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.294673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6fe163cb-ad3c-4c78-a917-904832420bbd · outbound
This paper cites Lynch,Convexity estimates for hypersurfaces moving by concave curvature functions, Duke Math.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Lynch,Convexity estimates for hypersurfaces moving by concave curvature functions, Duke Math
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.285742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d1da0309-47e9-4e0e-b836-12b0d26ade25 · outbound
This paper cites Montiel and A.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Montiel and A
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.277212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cea86904-985c-40e4-a038-f34ad01e819c · outbound
This paper cites The weighted geometric inequalities for static convex domains in static rotationally symmetric spaces.
New Heintze-Karcher type inequalities in sub-static warped product manifolds The weighted geometric inequalities for static convex domains in static rotationally symmetric spaces
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:44:11.193895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a8ce4221-23cf-4c0e-bcf4-6ef490203ba5 · outbound
This paper cites Qiu and C.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Qiu and C
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.268724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b2839568-7c5c-4253-a375-9db2feca9598 · outbound
This paper cites Reilly,Applications of the Hessian operator in a Riemannian manifold, Indiana Univ.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Reilly,Applications of the Hessian operator in a Riemannian manifold, Indiana Univ
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.260137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 65630316-63c5-45be-81c7-32455eebb065 · outbound
This paper cites Ros,Compact hypersurfaces with constant higher order mean curvatures, Rev.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Ros,Compact hypersurfaces with constant higher order mean curvatures, Rev
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.249552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b19efca6-e09d-487a-9eeb-5aac99ca72a2 · outbound
This paper cites Scheuer and C.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Scheuer and C
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.240482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a096a487-9340-4c09-a8c1-29281e9fc2df · outbound
This paper cites Schneider,Convex bodies: the Brunn-Minkowski theory, Second expanded edition, Encyclopedia of Mathematics and its Applications, vol.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Schneider,Convex bodies: the Brunn-Minkowski theory, Second expanded edition, Encyclopedia of Mathematics and its Applications, vol
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.231334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7b6bdb66-a602-4914-8c09-31a6191cebae · outbound
This paper cites an unresolved cited work.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:44:11.221940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eaf6d4ae-4485-4be1-980c-a9edc8a2ed96 · outbound
This paper cites Xia,A Minkowski type inequality in space forms, Calc.
New Heintze-Karcher type inequalities in sub-static warped product manifolds Xia,A Minkowski type inequality in space forms, Calc
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:44:11.212497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 002742d1-8c2e-459d-92dc-c34635953d87 · inbound
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds cites this paper.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds New Heintze-Karcher type inequalities in sub-static warped product manifolds
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:04:39.465223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 90684afa-b160-4b9e-9054-3d3c9638ba98 · inbound
An Alexandrov-type theorem in warped product manifolds with radial density cites this paper.
An Alexandrov-type theorem in warped product manifolds with radial density New Heintze-Karcher type inequalities in sub-static warped product manifolds
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:45:54.091609Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.