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 of, case and/or equality:
“If you think dope is for kicks and for thrills, you’re out of your mind. There are more kicks to be had in a good case of paralytic polio or by living in an iron lung. If you think you need stuff to play music or sing, you’re crazy. It can fix you so you can’t play nothing or sing nothing.”
—Billie Holiday (1915–1959)
“Thought is an infection. In the case of certain thoughts, it becomes an epidemic.”
—Wallace Stevens (1879–1955)
“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)