In this paper, we use the inverse mean curvature flow to establish an optimal Minkowski type inequality, a weighted Alexandrov-Fenchel inequality for the mean convex star-shaped hypersurfaces in the Reissner-Nordström-anti-deSitter manifold, and a Penrose type inequality for asymptotically locally hyperbolic manifolds which can be realized as graphs over the Reissner-Nordström-anti-deSitter manifold.
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2019
Author(s)
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