Lucas C. Ambrozio
Published 2014-02-18, updated 2015-01-18Version 3
In this paper we prove the Penrose inequality for metrics that are small perturbations of the Schwarzschild anti-de Sitter metrics of positive mass. We use the existence of a global foliation by weakly stable constant mean curvature spheres and the monotonicity of the Hawking mass.
Comments: 19 pages. Revised version. To appear in Communications in Mathematical Physics
On Stable Constant Mean Curvature Spheres of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R$ and their Uniqueness as Isoperimetric Hypersurfaces
Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
On eternal mean curvature flows of tori in perturbations of the unit sphere
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