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arXiv · 1603.00379

Brendle's inequality on static manifolds

Xiaodong Wang·Ye-Kai Wang
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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}.

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Xiaodong Wang, Ye-Kai Wang. 2016-03-01. Brendle's inequality on static manifolds. https://doi.org/10.1007/s12220-017-9814-3

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