Positive mass and Penrose type inequalities for asymptotically   hyperbolic hypersurfaces
  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 $n-1$. 
Levi Lopes de Lima, Frederico Gir\~ao
math.DG