Brendle's inequality on static manifolds
Differential Geometry
2018-11-07 v1 General Relativity and Quantum Cosmology
Abstract
We generalize Brendle's geometric inequality considered in \cite{B} to static manifolds. The inequality bounds the integral of inverse mean curvature of an embedded mean-convex hypersurface by geometric data of the horizon. As a consequence, we obtain a reverse Penrose inequality on static asymptotically locally hyperbolic manifolds in the spirit of Chru\'{s}ciel and Simon \cite{CS}.
Keywords
Cite
@article{arxiv.1603.00379,
title = {Brendle's inequality on static manifolds},
author = {Xiaodong Wang and Ye-Kai Wang},
journal= {arXiv preprint arXiv:1603.00379},
year = {2018}
}