A Heintze-Karcher type inequality in hyperbolic space
Differential Geometry
2025-10-08 v1
Abstract
In this paper, we prove a new Heintze-Karcher type inequality for shifted mean convex hypersurfaces in hyperbolic space. As applications, we prove an Alexandrov type theorem for closed embedded hypersurfaces with constant shifted th mean curvature in hyperbolic space. Furthermore, a uniqueness result for -convex hypersurfaces satisfying certain curvature equations is obtained.
Cite
@article{arxiv.2306.14591,
title = {A Heintze-Karcher type inequality in hyperbolic space},
author = {Yingxiang Hu and Yong Wei and Tailong Zhou},
journal= {arXiv preprint arXiv:2306.14591},
year = {2025}
}
Comments
15 pages. All comments are welcome