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arXiv · 1201.4991

Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces

Levi Lopes de Lima·Frederico Girão
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Abstract

We establish versions of the Positive Mass and Penrose inequalities for a class of asymptotically hyperbolic hypersurfaces. In particular, under the usual dominant energy condition, we prove in all dimensions $n\geq 3$ an optimal Penrose inequality for certain graphs in hyperbolic space $\mathbb H^{n+1}$ whose boundary has constant mean curvature $n-1$.

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Levi Lopes de Lima, Frederico Girão. 2012-01-24. Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces. https://arxiv.org/abs/1201.4991

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