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arXiv · 1710.02340

A Penrose type inequaltiy for graphs over Reissner-Nordstr\"om-anti-deSitter manifold

Daguang Chen·Haizhong Li·Tailong Zhou
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Abstract

In this paper, we use the inverse mean curvature flow to establish an optimal Minkowski type inquality, weighted Alexandrov-Fenchel inequality for the mean convex star shaped hypersurfaces in Reissner-Nordstr\"om-anti-deSitter manifold and Penrose type inequality for asymptotically locally hyperbolic manifolds in which can be realized as graphs over Reissner-Nordstr\"om-anti-deSitter manifold.

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Daguang Chen, Haizhong Li, Tailong Zhou. 2017-10-06. A Penrose type inequaltiy for graphs over Reissner-Nordstr\"om-anti-deSitter manifold. https://arxiv.org/abs/1710.02340

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