Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T04:49:09.926552Z
Paper Citation Record · LEDGER
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics
As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2507.12068.
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 2026-08-14T06:32:32.682623+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
27 of 27 outbound references displayed
- verified exact5
- verified fuzzy18
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 470324fd-c4e5-4a99-a302-1b013212d105 · outbound
This paper cites Adams and J.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Adams and J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.524429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5c8e4c08-2dea-453a-99da-9c52fb9f8389 · outbound
This paper cites AmannNon–homogeneous linear and quasilinear elliptic and parabolic boundary value problems, Teubner–Texte zur Mathematik, (1993), pp.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics AmannNon–homogeneous linear and quasilinear elliptic and parabolic boundary value problems, Teubner–Texte zur Mathematik, (1993), pp
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.520159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d26be7bb-d742-4fa2-8d20-3e94ff4b9eb7 · outbound
This paper cites Anh and T.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Anh and T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.513711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7127a358-c40e-4f97-b2f6-94d9622ecb0d · outbound
This paper cites Rigidity and stability estimates for minimal submanifolds in the hyperbolic space.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Rigidity and stability estimates for minimal submanifolds in the hyperbolic space
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T04:52:03.732689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7d42fa1d-26f5-44d5-8310-c738deea7aaf · outbound
This paper cites Perelman's entropy and heat kernel bounds on RCD spaces.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Perelman's entropy and heat kernel bounds on RCD spaces
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T04:52:03.729596Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fc6d1a18-34ee-411d-bd88-599c6eed36d3 · outbound
This paper cites Caddeo, S.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Caddeo, S
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.511592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3b68f0a0-9bcd-4381-8d88-e4675cee41d8 · outbound
This paper cites an unresolved cited work.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T04:52:04.516210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a89ff74d-83dd-4e08-bfd3-c0a6e81974e1 · outbound
This paper cites an unresolved cited work.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T04:52:04.526616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 193f31f5-406a-45e0-b903-36f89487a02c · outbound
This paper cites an unresolved cited work.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T04:52:04.509664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c4fa9b91-f2d8-432c-a0bd-be550a9808fa · outbound
This paper cites Chen and G.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Chen and G
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.500242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4026d7f8-ad59-4727-8571-016274815e26 · outbound
This paper cites Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T04:52:03.722351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7023f37c-3feb-45d7-97a7-0f24dea65638 · outbound
This paper cites Do CarmoDifferential geometry of curves and surfaces, Prentice Hall, (1976).
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Do CarmoDifferential geometry of curves and surfaces, Prentice Hall, (1976)
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.522443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3e83bc38-53a9-4e35-bcc8-fd7ca30e2813 · outbound
This paper cites Ebin and J.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Ebin and J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.507597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f718cfd6-a6a0-47ab-8383-45e07885621a · outbound
This paper cites Hamilton,Three-manifolds with positive Ricci curvature, J Diff.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Hamilton,Three-manifolds with positive Ricci curvature, J Diff
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.495454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation da159fd9-7c58-42e9-b792-a94be3fe3725 · outbound
This paper cites Jiang,2–Harmonic maps and their first and second variational formulas, Chinese Ann.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Jiang,2–Harmonic maps and their first and second variational formulas, Chinese Ann
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.493331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5cbd053d-096e-4925-a3ad-1f06d49002aa · outbound
This paper cites Koch and C.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Koch and C
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T04:52:03.725875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3a6911f4-f819-449c-bfd2-b400df87835e · outbound
This paper cites Kuwert and R.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Kuwert and R
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.497849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 687197d8-a883-464e-a7db-5eacb19bcc96 · outbound
This paper cites Lamm and G.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Lamm and G
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.502464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c2c643de-f32c-459e-869c-a47aee117522 · outbound
This paper cites A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T04:52:03.719367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6516cfa9-e827-4bb0-8d9b-b0f3bc9897c6 · outbound
This paper cites Mantegazza and L.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Mantegazza and L
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.487060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1f578503-24c3-4e25-abfa-5cdd7c3721e0 · outbound
This paper cites Nakauchi and H.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Nakauchi and H
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.491091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0b2e0b83-6d72-4ad1-9efa-18c73ac332fb · outbound
This paper cites an unresolved cited work.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T04:52:04.483022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9e9d3a81-522e-4534-9549-4c9a6254aa9d · outbound
This paper cites PerelmanThe entropy formula for the Ricci flow and its geometric applications, arXiv: 0211159., (2002).
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics PerelmanThe entropy formula for the Ricci flow and its geometric applications, arXiv: 0211159., (2002)
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.478807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 977e5fad-05f1-44b1-b2e5-67676b2d84bb · outbound
This paper cites SimonMinimal varieties in Riemannian manifolds, Ann.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics SimonMinimal varieties in Riemannian manifolds, Ann
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.480854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1e128843-71da-4ae6-9fef-3a414cfbea46 · outbound
This paper cites Simon Lectures on geometric measure theory, Institut für Angewandte Mathe- matik, Heidelberg University and ANU Australia, (1993).
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Simon Lectures on geometric measure theory, Institut für Angewandte Mathe- matik, Heidelberg University and ANU Australia, (1993)
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.485087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fcfb09b6-383c-4d6c-8b1f-041dbf286db1 · outbound
This paper cites XinMinimal submanifolds and related topics, Nankai Tracts in Mathematics, Vol.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics XinMinimal submanifolds and related topics, Nankai Tracts in Mathematics, Vol
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.489036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1c1bf8b5-8302-4592-920d-52c71c4e5b7d · outbound
This paper cites YauSome function–theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Univ.
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics YauSome function–theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Univ
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T04:52:04.504877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.