Levi Lopes de Lima, Frederico Girão
Published 2012-01-24Version 1
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 $n-1$.
Comments: 18 pages, no figures
On stable hypersurfaces with constant mean curvature in Euclidean spaces
A half-space theorem for graphs of constant mean curvature $0<H<\frac{1}{2}$ in $\mathbb{H}^2\times\mathbb{R}$
Vertical Ends of Constant Mean Curvature H=1/2 in H^2\times R
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