Paper Citation Record · LEDGER

Remarks on Hessian quotient equations on Riemannian manifolds

As of 11 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2501.03386.

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pith.paper-citation-record.v1
2501.03386 v1

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measured 27 of 27 reference resolution

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27 of 27 outbound references displayed

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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

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

This paper cites Brendle, K.

Remarks on Hessian quotient equations on Riemannian manifolds Brendle, K

Reference 2

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

This paper cites Caﬀarelli, L.

Remarks on Hessian quotient equations on Riemannian manifolds Caﬀarelli, L

Reference 3

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Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 4

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Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 5

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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

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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

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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

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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

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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

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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

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

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Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 12

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Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 13

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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

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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

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Reference 16

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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

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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

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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

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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

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Remarks on Hessian quotient equations on Riemannian manifolds Unresolved cited work

Reference 21

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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

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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

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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

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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

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Source-reported events for the cited work

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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

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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

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