Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space
Differential Geometry
2023-02-28 v1 Analysis of PDEs
Abstract
In this paper, we establish a curvature estimate for semi-convex solutions of Hessian equations in hyperbolic space. We also obtain a curvature estimate for admissible solutions to prescribed curvature measure type problem in hyperbolic space. A crucial ingredient in both estimates is a concavity inequality for Hessian operator.
Keywords
Cite
@article{arxiv.2302.12409,
title = {Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space},
author = {Siyuan Lu},
journal= {arXiv preprint arXiv:2302.12409},
year = {2023}
}