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Paper Citation Record · LEDGER

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2412.13351.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.13351 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:22:40.447262Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T21:20:57.365980Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T21:22:08.691271Z

Reference resolution

28 of 28 outbound references displayed

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  • verified fuzzy24
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External citation measurements

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Outbound references

Observation e79cb131-1e33-4f11-86ab-f8b712ce7a19 · outbound

This paper cites : Rigidity of SUn-type symmetric spaces, Int.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Rigidity of SUn-type symmetric spaces, Int

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 716fb74c-83df-4aaf-8fe8-5720ceca750d · outbound

This paper cites : Einstein manifolds , Results in Mathematics and Related Areas (3), 10.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Einstein manifolds , Results in Mathematics and Related Areas (3), 10

Reference 2

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 907bc441-022a-46d4-845f-395917684e0c · outbound

This paper cites Ilmanen, T.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds Ilmanen, T

Reference 3

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Observation af5e491e-3526-4b0e-a823-76585513916a · outbound

This paper cites : The mass of asymptotically hyperbolic Riemannian manifold s, Pac.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : The mass of asymptotically hyperbolic Riemannian manifold s, Pac

Reference 4

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raw_fallback, observed 2026-08-11T13:22:41.238519Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b712cb45-f73e-430b-907b-f9afb748a933 · outbound

This paper cites : A note on quaternionic K¨ ahler manifolds with ends of finite v olume, Q.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : A note on quaternionic K¨ ahler manifolds with ends of finite v olume, Q

Reference 5

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raw_fallback, observed 2026-08-11T13:22:41.214300Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T13:22:40.281757Z digest=sha256:d9a86eec6c87daa214747648313c86ca78f6f056495be6a6e6445bc9cbae3d13

Observation dd3b7985-9149-4b8d-9777-2a35eb35cb70 · outbound

This paper cites : A class of locally inhomogeneous complete quaternionic K¨ ahler manifolds, Comm.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : A class of locally inhomogeneous complete quaternionic K¨ ahler manifolds, Comm

Reference 6

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raw_fallback, observed 2026-08-11T13:22:41.175826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T13:22:40.289473Z digest=sha256:a69a56257342dc475cafd39a26ef9c0315f421359b612ce9086ee47257d3ce52

Observation e81f5e2f-b86c-4a00-9a19-8260dabd5bd1 · outbound

This paper cites : Local and global scalar curvature rigidity of Einstein mani folds, Math.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Local and global scalar curvature rigidity of Einstein mani folds, Math

Reference 7

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raw_fallback, observed 2026-08-11T13:22:41.151801Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 67517fa8-c207-4a4e-b754-39a376ab59a6 · outbound

This paper cites : Stability of Einstein metrics and spin structures , Proceedings of the 4th international congress of Chinese mathematicians 2 (2007), no.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Stability of Einstein metrics and spin structures , Proceedings of the 4th international congress of Chinese mathematicians 2 (2007), no

Reference 8

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raw_fallback, observed 2026-08-11T13:22:41.127313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation bccd097a-956e-4a6c-8a43-a1499692d6a0 · outbound

This paper cites : On the stability of Riemannian manifold with parallel spino rs, Invent.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : On the stability of Riemannian manifold with parallel spino rs, Invent

Reference 9

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raw_fallback, observed 2026-08-11T13:22:41.098823Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0b804ce1-2e69-4fd4-b534-6dc0c2fa5a83 · outbound

This paper cites : On the variational stability of K¨ ahler-Einstein metrics , Comm.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : On the variational stability of K¨ ahler-Einstein metrics , Comm

Reference 10

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 12b69bb3-0052-4b81-a32a-154bf5da70f6 · outbound

This paper cites , Harris, J.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds , Harris, J

Reference 11

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0626f82d-fa34-4177-9079-56c15c8c5c85 · outbound

This paper cites : On the rigidity of the complex Grassmannians , to appear in Trans.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : On the rigidity of the complex Grassmannians , to appear in Trans

Reference 12

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 86794dda-f5a5-4558-a2f0-edda37be5b88 · outbound

This paper cites Sandwich operators and Einstein deformations of compact symmetric spaces related to Jordan algebras.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds Sandwich operators and Einstein deformations of compact symmetric spaces related to Jordan algebras

Reference 13

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local_arxiv, observed 2026-08-11T13:22:40.581110Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2c7d8e7b-865d-41ed-9b63-649ad38f4ac0 · outbound

This paper cites : Estimating the eigenvalues on quaternionic K¨ ahler manifo lds, Internat.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Estimating the eigenvalues on quaternionic K¨ ahler manifo lds, Internat

Reference 14

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ec49c5d5-600b-40a7-94d2-de4ad79ad3b6 · outbound

This paper cites : A decomposition of the space M of Riemannian metrics on a manifold , Osaka J.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : A decomposition of the space M of Riemannian metrics on a manifold , Osaka J

Reference 15

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f595e4fb-be6f-4944-bf5b-161b03805a35 · outbound

This paper cites : Rigidity and infinitesimal deformability of Einstein metri cs, Osaka J.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Rigidity and infinitesimal deformability of Einstein metri cs, Osaka J

Reference 16

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 81ec4c43-6121-4b0a-8f9f-313c016edcf1 · outbound

This paper cites : Rigidity and stability of Einstein metrics – the case of comp act symmetric spaces , Osaka J.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Rigidity and stability of Einstein metrics – the case of comp act symmetric spaces , Osaka J

Reference 17

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 9777ed7e-da94-4f6d-a8c8-fe99a837e549 · outbound

This paper cites : Einstein metrics and complex structures , Invent.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Einstein metrics and complex structures , Invent

Reference 18

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b8c71c22-2f80-4f8e-a850-e6bffa37dcff · outbound

This paper cites : Einstein metrics and the Yamabe problem.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Einstein metrics and the Yamabe problem

Reference 19

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 57353bf3-f80d-4f89-8f7c-67a6a41c20a7 · outbound

This paper cites Second order Einstein deformations.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds Second order Einstein deformations

Reference 20

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local_arxiv, observed 2026-08-11T13:22:40.530652Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 264b0de5-147f-4e53-a5a6-6bdd942706ba · outbound

This paper cites : The standard Laplace operator , Manuscripta Math.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : The standard Laplace operator , Manuscripta Math

Reference 21

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4291634e-7990-4109-9aa3-da8cf6feaad3 · outbound

This paper cites : Stability of compact symmetric spaces , J.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Stability of compact symmetric spaces , J

Reference 22

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7884fc7e-5e03-4e06-9739-b07b3392def9 · outbound

This paper cites : Murphy’s law in algebraic geometry: badly-behaved deforma tion spaces, Invent.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Murphy’s law in algebraic geometry: badly-behaved deforma tion spaces, Invent

Reference 23

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Observation 08c537b5-ec6a-4aa5-b2b3-433f982b583e · outbound

This paper cites an unresolved cited work.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds Unresolved cited work

Reference 24

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Observation 3480c888-1aa4-4b7c-be84-30636654f5e6 · outbound

This paper cites an unresolved cited work.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds Unresolved cited work

Reference 25

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raw_fallback, observed 2026-08-11T13:22:40.673853Z

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Observation 608868cc-7dde-4306-9632-e7974578404f · outbound

This paper cites : Differential forms on quaternionic K¨ ahler manifolds, Handbook of pseudo-Riemannian geometry and supersymmetry, 15-37, IRMA Lect.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : Differential forms on quaternionic K¨ ahler manifolds, Handbook of pseudo-Riemannian geometry and supersymmetry, 15-37, IRMA Lect

Reference 26

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raw_fallback, observed 2026-08-11T13:22:40.648398Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1c6368ac-9ccc-4274-b68b-c1faa5297196 · outbound

This paper cites : A new proof of the positive energy theorem , Comm.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds : A new proof of the positive energy theorem , Comm

Reference 27

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c68eb9af-d0d3-4482-a2d6-bb070ddfbd16 · outbound

This paper cites Springer-Verlag, New York, 1991.

On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds Springer-Verlag, New York, 1991

Reference 129

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Pith citing papers

Observation 7c38685f-b10f-4c70-9a87-edc5220ace57 · inbound

Extremal metrics involving scalar curvature cites this paper.

Extremal metrics involving scalar curvature On stability and scalar curvature rigidity of quaternion-K\"ahler manifolds

Reference 17

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arxiv_id, observed 2026-05-22T21:22:08.693809Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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