Riemannian Penrose Inequality - Case of Equality

Case of Equality

Both the Bray and Huisken-Ilmanen proofs of the Riemannian Penrose inequality state that under the hypotheses, if

then the manifold in question is isometric to a slice of the Schwarzschild spacetime outside of the outermost minimal surface.

Read more about this topic:  Riemannian Penrose Inequality

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