A rigidity result for the graph case of the Penrose inequality [PDF]
Levi Lopes de Lima, Frederico GirãoIn this short note we prove a rigidity result for asymptotically flat, scalar flat Euclidean graphs with a minimal horizon, under a natural ellipticity condition. This yields, in particular, a local rigidity result for the graph realization of the family of exterior Schwarzschild solutions in the context of the Riemannian Penrose conjecture.View original: http://arxiv.org/abs/1205.1132
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