A special concavity property for positive Hessian quotient operators
Analysis of PDEs
2025-09-23 v1 Differential Geometry
Abstract
We establish a special concavity property for positive Hessian quotient operators . As a consequence, we prove a Jacobi inequality for general symmetric tensor satisfying positive Hessian quotient equation on Riemannian manifolds.
Cite
@article{arxiv.2509.16406,
title = {A special concavity property for positive Hessian quotient operators},
author = {Pengfei Guan and Marcin Sroka},
journal= {arXiv preprint arXiv:2509.16406},
year = {2025}
}