paper

A Penrose type inequaltiy for graphs over Reissner-Nordström-anti-deSitter manifold

arXiv:1710.02340

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-Nordström-anti-deSitter manifold and Penrose type inequality for asymptotically locally hyperbolic manifolds in which can be realized as graphs over Reissner-Nordström-anti-deSitter manifold.

26 pages. All comments are welcome

A Penrose type inequaltiy for graphs over Reissner-Nordström-anti-deSitter manifold · wovepaper