Paper Citation Record · LEDGER

Remarks on Hessian quotient equations on Riemannian manifolds

As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2501.03386.

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

pith.paper-citation-record.v1
2501.03386 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:05:15.141282Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy17
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3158ed00-9907-4acc-a11d-d18dfc29226b · outbound

This paper cites Andrews, Contractions of convex hypersurfaces in Euclidian space , Calc.

Remarks on Hessian quotient equations on Riemannian manifolds Andrews, Contractions of convex hypersurfaces in Euclidian space , Calc

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.471430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 134d9077-4836-492b-83bd-55a8d8f05a1a · outbound

This paper cites Brendle, K.

Remarks on Hessian quotient equations on Riemannian manifolds Brendle, K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.460020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 71abbabf-9803-4cb2-bebb-95340730e3a9 · outbound

This paper cites Caﬀarelli, L.

Remarks on Hessian quotient equations on Riemannian manifolds Caﬀarelli, L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.449321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 972990d2-1295-4acc-997e-9a0e338f222c · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.438382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4660c3f9-0c6a-4dc4-92ed-e53ca913d460 · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.427464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b62bb596-5d93-49ca-af0d-8765c883b8c8 · outbound

This paper cites Cheng andS.-T.

Remarks on Hessian quotient equations on Riemannian manifolds Cheng andS.-T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.416828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fde8d866-57ea-4733-a370-260743b14629 · outbound

This paper cites Delano¨ e, ´Equations du type Monge-Amp` ere sur les vari´ et´ es riemanniennes compactes.

Remarks on Hessian quotient equations on Riemannian manifolds Delano¨ e, ´Equations du type Monge-Amp` ere sur les vari´ et´ es riemanniennes compactes

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.405806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 77386240-0696-49e5-8c90-b8cfb3a7d2a0 · outbound

This paper cites Delano¨ e, ´Equations du type de Monge-Amp` ere sur les vari´ et´ es riema nniennes compactes.

Remarks on Hessian quotient equations on Riemannian manifolds Delano¨ e, ´Equations du type de Monge-Amp` ere sur les vari´ et´ es riema nniennes compactes

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.395277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8e6a884e-9545-4f32-97bc-decf183c160f · outbound

This paper cites Delano¨ e, ´Equations de Monge-Amp` ere invariantes sur les vari´ et´ esriemanniennes compactes, Ann.

Remarks on Hessian quotient equations on Riemannian manifolds Delano¨ e, ´Equations de Monge-Amp` ere invariantes sur les vari´ et´ esriemanniennes compactes, Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.384729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 97a7e6d4-45d5-402b-bb22-343fa8b41ac2 · outbound

This paper cites Delano¨ e,Remarques sur les vari´ et´ es localement hessiennes, Osaka J.

Remarks on Hessian quotient equations on Riemannian manifolds Delano¨ e,Remarques sur les vari´ et´ es localement hessiennes, Osaka J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.373789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cb340460-eac3-471b-9dc4-a65d13311f8d · outbound

This paper cites Delano¨ e, Hessian equations on compact non–negatively curved rieman nian manifolds , Calc.

Remarks on Hessian quotient equations on Riemannian manifolds Delano¨ e, Hessian equations on compact non–negatively curved rieman nian manifolds , Calc

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.363232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7a3e3b7-9dc2-4074-93bd-cdc40bff91c1 · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.352324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ee7bdb12-122a-4792-83ab-e5229c9c5995 · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.342306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ab33ed9d-1285-4f12-b799-21911240f821 · outbound

This paper cites Guan, Second–order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds, Duke Math.

Remarks on Hessian quotient equations on Riemannian manifolds Guan, Second–order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds, Duke Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.332672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ab16101c-970c-4bb2-96b3-f091b0e7d62b · outbound

This paper cites Guan, On subsolutions and concavity for fully nonlinear elliptic equations, Adv.

Remarks on Hessian quotient equations on Riemannian manifolds Guan, On subsolutions and concavity for fully nonlinear elliptic equations, Adv

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.321941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 97740217-0418-454f-a7d3-0850f7e76927 · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.310375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 974fc59d-b7c8-4b68-93a0-1aac96e4653e · outbound

This paper cites Guan and X.

Remarks on Hessian quotient equations on Riemannian manifolds Guan and X

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.299423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b2433d06-28d2-4c8c-be6f-404845362e4f · outbound

This paper cites Guan and M.

Remarks on Hessian quotient equations on Riemannian manifolds Guan and M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.287411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4d377b9-4941-4619-88d5-0a0cd67e30c0 · outbound

This paper cites Sup-slopes and sub-solutions for fully nonlinear elliptic equations.

Remarks on Hessian quotient equations on Riemannian manifolds Sup-slopes and sub-solutions for fully nonlinear elliptic equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T22:05:15.108992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b88f1b0-1683-4ddb-9928-1494c4a4e946 · outbound

This paper cites Heinz, On elliptic Monge-Amp´ ere equations and Weyl’s embedding p roblem, J.

Remarks on Hessian quotient equations on Riemannian manifolds Heinz, On elliptic Monge-Amp´ ere equations and Weyl’s embedding p roblem, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.274679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2251b446-59e6-4405-a287-12104481e77c · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.260922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5248c61a-c79a-4487-97fc-dec859749e54 · outbound

This paper cites an unresolved cited work.

Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:15.248423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6b371c0c-cd80-4e03-9caa-b6d16b8d4db8 · outbound

This paper cites Interior $C^2$ estimate for Hessian quotient equation in general dimension.

Remarks on Hessian quotient equations on Riemannian manifolds Interior $C^2$ estimate for Hessian quotient equation in general dimension

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:05:15.191456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation de63c73c-75db-4d7d-bf9b-4f15fd2b9325 · outbound

This paper cites Schulz, Regularity theory for quasilinear elliptic systems and Mon ge-Amp´ ere equations in two dimen- sions, Lecture Notes in Math., 1445, Springer-Verlag, Berlin, 1990.

Remarks on Hessian quotient equations on Riemannian manifolds Schulz, Regularity theory for quasilinear elliptic systems and Mon ge-Amp´ ere equations in two dimen- sions, Lecture Notes in Math., 1445, Springer-Verlag, Berlin, 1990

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.237484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f48ddc42-c048-469b-8ccf-fa57f818fa45 · outbound

This paper cites Nakai-Moishezon criterions for complex Hessian equations.

Remarks on Hessian quotient equations on Riemannian manifolds Nakai-Moishezon criterions for complex Hessian equations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T22:05:15.133644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41e5fdc4-1efb-4ff8-9e81-a07251ae3a48 · outbound

This paper cites Szekelyhidi, Fully non-linear elliptic equations on compact Hermitian m anifolds, J.

Remarks on Hessian quotient equations on Riemannian manifolds Szekelyhidi, Fully non-linear elliptic equations on compact Hermitian m anifolds, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.225913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5b809395-a637-4846-a115-5b26179147e7 · outbound

This paper cites Urbas, Hessian equations on compact Riemannian manifolds , Nonlinear problems in mathematical physics and related topics, II, Int.

Remarks on Hessian quotient equations on Riemannian manifolds Urbas, Hessian equations on compact Riemannian manifolds , Nonlinear problems in mathematical physics and related topics, II, Int

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:15.215785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.