57 citations · 123 across the 12 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.DG2012★ 57 cited
An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality
Levi Lopes de Lima, Frederico Girão
We prove a sharp Alexandrov-Fenchel-type inequality for star-shaped, strictly mean convex hypersurfaces in hyperbolic -space, . The argument uses two new monotone quant…
math.DG2012★ 14 cited
A rigidity result for the graph case of the Penrose inequality
Levi Lopes de Lima, Frederico Girão
In this note we prove a global rigidity result for asymptotically flat, scalar flat Euclidean hypersurfaces with a minimal horizon lying in a hyperplane, under a natural ellipticit…
math.DG2012★ 16 cited
Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces
Levi Lopes de Lima, Frederico Girão
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…