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Bibliographic Details
Main Authors: Guan, Pengfei, Sroka, Marcin
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.16406
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author Guan, Pengfei
Sroka, Marcin
author_facet Guan, Pengfei
Sroka, Marcin
contents We establish a special concavity property for positive Hessian quotient operators $\frac{σ_n(W)}{σ_{n-k}(W)}, \ 1\le k\le n-1$. As a consequence, we prove a Jacobi inequality for general symmetric tensor satisfying positive Hessian quotient equation on Riemannian manifolds.
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institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A special concavity property for positive Hessian quotient operators
Guan, Pengfei
Sroka, Marcin
Analysis of PDEs
Differential Geometry
We establish a special concavity property for positive Hessian quotient operators $\frac{σ_n(W)}{σ_{n-k}(W)}, \ 1\le k\le n-1$. As a consequence, we prove a Jacobi inequality for general symmetric tensor satisfying positive Hessian quotient equation on Riemannian manifolds.
title A special concavity property for positive Hessian quotient operators
topic Analysis of PDEs
Differential Geometry
url https://arxiv.org/abs/2509.16406