A penrose inequality for graphs over Kottler space

2013/09/24 by Ge, Yuxin, Wang, Guofang, Wu, Jie +1 · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1309.6248

Abstract

In this work, we prove an optimal Penrose inequality for asymptotically locally hyperbolic manifolds which can be realized as graphs over Kottler space. Such inequality relies heavily on an optimal weighted Alexandrov-Fenchel inequality for the mean convex star shaped hypersurfaces in Kottler space.

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• On the geometry and uniqueness of asymptotically locally hyperbolic static vacuum black holes

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