Sharp Minkowski Type Inequality in Cartan-Hadamard 3-Spaces
Differential Geometry
2026-04-27 v2 Analysis of PDEs
Abstract
In this paper, we proved a sharp Minkowski type inequality in Cartan-Hadamard 3-spaces by harmonic mean curvature flow and improves the known estimates for total mean curvature in hyperbolic 3-space. In particular, we sharpened Ghomi-Spruck's result. As a corollary, we also get a comparison theorem between total mean curvature in Cartan-Hadamard 3-spaces with that of the geodesic sphere in hyperbolic 3-space with constant curvature.
Cite
@article{arxiv.2603.19646,
title = {Sharp Minkowski Type Inequality in Cartan-Hadamard 3-Spaces},
author = {Fang Hong},
journal= {arXiv preprint arXiv:2603.19646},
year = {2026}
}
Comments
15 pages