Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:04:39.421281Z
Paper Citation Record · LEDGER
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds
As of 19 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.17344.
A citation records a reference. It does not transfer a finding from one paper to another.
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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
37 of 37 outbound references displayed
- verified exact3
- verified fuzzy28
- unresolved6
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 98fa197d-49a4-43a6-a81d-3baf0b126685 · outbound
This paper cites Al ´ ıas, D.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Al ´ ıas, D
Reference 1
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- raw_fallback, observed 2026-08-06T15:04:39.687275Z
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 94416a75-d088-4f8e-9449-54c82146a318 · outbound
This paper cites Alexsandorov, Uniqueness theorem for surfaces in the large I , Vestnik Leningrad Univ., 1956, 11: 5-17.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Alexsandorov, Uniqueness theorem for surfaces in the large I , Vestnik Leningrad Univ., 1956, 11: 5-17
Reference 2
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- raw_fallback, observed 2026-08-06T15:04:39.680432Z
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 33ab1544-08df-4f5f-a469-80f5ec4dcc40 · outbound
This paper cites Andrews, Contraction of convex hypersurfaces in Riemannian spaces , Journal of Differential Geometry, 1994, 39(2): 407-431.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Andrews, Contraction of convex hypersurfaces in Riemannian spaces , Journal of Differential Geometry, 1994, 39(2): 407-431
Reference 3
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- raw_fallback, observed 2026-08-06T15:04:39.673923Z
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 35add6db-b757-4780-9ad0-a2fd92b84fda · outbound
This paper cites Andrews, X.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Andrews, X
Reference 4
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- raw_fallback, observed 2026-08-06T15:04:39.667480Z
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 5ba33766-fde8-4fec-ae47-ace83c159fb3 · outbound
This paper cites Aquino and H.F.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Aquino and H.F
Reference 5
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.659840Z
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 2e57a565-5469-4f90-9c7f-bdbd9d0e58d7 · outbound
This paper cites Barbosa and A.G.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Barbosa and A.G
Reference 6
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.652825Z
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 0be4797e-952b-4d92-8aa1-38f3b56a10a8 · outbound
This paper cites Brendle, Constant mean curvature surfaces in warped product manifolds , Publications math´ ematiques de l’IH´ES, 2013, 117(1): 247-269.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle, Constant mean curvature surfaces in warped product manifolds , Publications math´ ematiques de l’IH´ES, 2013, 117(1): 247-269
Reference 7
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- raw_fallback, observed 2026-08-06T15:04:39.646782Z
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 991199ad-45b1-4236-a275-e36b671c802d · outbound
This paper cites Brendle and M.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle and M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.640399Z
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 488420c8-cae1-4f8e-b9cf-5bbe07ffec35 · outbound
This paper cites Brendle and G.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle and G
Reference 9
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- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.633566Z
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 2bde2192-aaf3-4bf0-956c-ee7d90f033c0 · outbound
This paper cites Brendle, P.K.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle, P.K
Reference 10
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.627525Z
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 77ce31b7-41ee-44b2-a0e0-b2bc1829d10f · outbound
This paper cites Gao, Closed self-similar solutions to flows by negative powers of curvature , The Journal of Geometric Analysis, 2023, 33(12): 370.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Gao, Closed self-similar solutions to flows by negative powers of curvature , The Journal of Geometric Analysis, 2023, 33(12): 370
Reference 11
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- raw_fallback, observed 2026-08-06T15:04:39.620990Z
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 7c7f3093-3079-4a0a-9846-d1c7140ac603 · outbound
This paper cites Gao and H.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Gao and H
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.613848Z
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 1fbe74af-073d-4c7e-b12b-7337c4a72d04 · outbound
This paper cites Guan, Topics in geometric fully nonlinear equations , Lecture Notes, http://www.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Guan, Topics in geometric fully nonlinear equations , Lecture Notes, http://www
Reference 13
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- raw_fallback, observed 2026-08-06T15:04:39.607939Z
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 f3ba8d24-1c58-462b-b48c-c61e3047cfe1 · outbound
This paper cites an unresolved cited work.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work
Reference 14
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- unresolved
- raw_fallback, observed 2026-08-06T15:04:39.601390Z
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 12350f49-7a53-4b66-b05b-6d5f150c33ca · outbound
This paper cites Heintze and H.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Heintze and H
Reference 15
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- raw_fallback, observed 2026-08-06T15:04:39.595503Z
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 d7ebea3b-42d7-4ad4-9650-d84b9cac2aa5 · outbound
This paper cites an unresolved cited work.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:04:39.589429Z
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 37505dfa-e7cf-436e-a076-320e20bbb0b1 · outbound
This paper cites Hijazi, S.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Hijazi, S
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.583480Z
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 480b9de6-744d-44a3-a6b3-dd808e318887 · outbound
This paper cites an unresolved cited work.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:04:39.577451Z
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 9c61177b-1e40-435e-8f83-88200e14d2b8 · outbound
This paper cites an unresolved cited work.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:04:39.571350Z
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 728dac98-6599-4718-b7fd-d8cda8e50ed0 · outbound
This paper cites Koh, A characterization of round spheres, Proceedings of the American Mathematical Society, 1998, 126(12): 3657-3660.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Koh, A characterization of round spheres, Proceedings of the American Mathematical Society, 1998, 126(12): 3657-3660
Reference 20
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.565262Z
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 ada14f7b-2e28-42f4-b8b4-4442cc49eb49 · outbound
This paper cites Koh, Sphere theorem by means of the ratio of mean curvature functions, Glasgow Mathematical Journal, 2000, 42(1): 91-95.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Koh, Sphere theorem by means of the ratio of mean curvature functions, Glasgow Mathematical Journal, 2000, 42(1): 91-95
Reference 21
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.558423Z
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 a035555a-bed5-4fac-9699-0af4ad95944a · outbound
This paper cites Kwong, H.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Kwong, H
Reference 22
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.551755Z
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 7504fe69-fbcc-4d0d-84e3-323d424d4053 · outbound
This paper cites an unresolved cited work.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:04:39.545651Z
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 002742d1-8c2e-459d-92dc-c34635953d87 · outbound
This paper cites New Heintze-Karcher type inequalities in sub-static warped product manifolds.
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
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- 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 2026-08-18T06:34:40.430872+00:00.
Observation 41bcea31-8d40-493f-a0b9-2cbe46caf15e · outbound
This paper cites Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:04:39.455789Z
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 2ed68154-415c-493f-abd5-c62ac756148c · outbound
This paper cites Li and C.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Li and C
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.539514Z
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 4d675910-a071-4499-98cf-1ec007682a79 · outbound
This paper cites Montiel, Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes, Mathematische Annalen, 1999, 314(3): 529-553.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Montiel, Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes, Mathematische Annalen, 1999, 314(3): 529-553
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.533315Z
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 1375625c-52a2-4189-a8d9-e28e807a5504 · outbound
This paper cites Montiel and A.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Montiel and A
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.527104Z
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 d4da99d7-adcd-458e-a82a-f1efeb4cfd87 · outbound
This paper cites Reilly, On the Hessian of a function and the curvatures of its graph , Michigan Mathematical Journal, 1974, 20(4): 373-383.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Reilly, On the Hessian of a function and the curvatures of its graph , Michigan Mathematical Journal, 1974, 20(4): 373-383
Reference 29
- Resolution
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- raw_fallback, observed 2026-08-06T15:04:39.520816Z
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 af4c5be6-9c2d-4eb7-8a42-008cd1162f35 · outbound
This paper cites Reilly, Applications of the Hessian operator in a Riemannian manifold , Indiana University Mathematics Journal, 1977, 26(3): 459-472.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Reilly, Applications of the Hessian operator in a Riemannian manifold , Indiana University Mathematics Journal, 1977, 26(3): 459-472
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.514377Z
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 1fb25bca-c55c-47c0-8c3b-f942c73127e8 · outbound
This paper cites Ros, Compact hypersurfaces with constant scalar curvature and a congruence theorem , Journal of Differential Geometry, 1988, 27(2): 215-220.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Ros, Compact hypersurfaces with constant scalar curvature and a congruence theorem , Journal of Differential Geometry, 1988, 27(2): 215-220
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.507854Z
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 352050de-7e5e-4eaa-8097-3a6138140a13 · outbound
This paper cites Ros, Compact hypersurfaces with constant higher order mean curvatures , Revista Matem´ atica Iberoamericana, 1987, 3(3): 447-453.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Ros, Compact hypersurfaces with constant higher order mean curvatures , Revista Matem´ atica Iberoamericana, 1987, 3(3): 447-453
Reference 32
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- raw_fallback, observed 2026-08-06T15:04:39.500843Z
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 5eab8498-cad8-45b1-b039-933011f2c333 · outbound
This paper cites Stong, Some characterizations of Riemann n-spheres, Proceedings of the American Mathemat- ical Society, 1960, 11(6): 945-951.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Stong, Some characterizations of Riemann n-spheres, Proceedings of the American Mathemat- ical Society, 1960, 11(6): 945-951
Reference 33
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- raw_fallback, observed 2026-08-06T15:04:39.494113Z
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 7187e0dc-6762-4291-b95b-f585b943133e · outbound
This paper cites On rigidity of hypersurfaces with constant shifted curvature functions in hyperbolic space.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds On rigidity of hypersurfaces with constant shifted curvature functions in hyperbolic space
Reference 34
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- local_arxiv, observed 2026-08-06T15:04:39.445590Z
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 1b76ac3f-4086-4c79-9a1e-1d28a1a43ce5 · outbound
This paper cites an unresolved cited work.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:04:39.487076Z
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 d36917f6-8509-40ba-8678-23b808e32547 · outbound
This paper cites Wu, A new characterization of geodesic spheres in the hyperbolic space , Proceedings of the American Mathematical Society, 2016, 144(7): 3077-3084.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Wu, A new characterization of geodesic spheres in the hyperbolic space , Proceedings of the American Mathematical Society, 2016, 144(7): 3077-3084
Reference 36
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- raw_fallback, observed 2026-08-06T15:04:39.480076Z
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 ad1ba250-6fde-4e21-bde1-922a8e5ebe78 · outbound
This paper cites Wu and C.
On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Wu and C
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:04:39.473001Z
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.