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

Famous quotes containing the words case and/or equality:

    In case you’ve never done it, this is known as washing your hands.
    Robert Pirosh, U.S. screenwriter, George Seaton, George Oppenheimer, and Sam Wood. Dr. Hugo Z. Hackenbush (Groucho Marx)

    Women’s battle for financial equality has barely been joined, much less won. Society still traditionally assigns to woman the role of money-handler rather than money-maker, and our assigned specialty is far more likely to be home economics than financial economics.
    Paula Nelson (b. 1945)