The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature (thesis)
Abstract
Description
In this thesis we describe how minimal surface techniques can be used to prove the Penrose inequality in general relativity for two classes of 3-manifolds. We also describe how a new volume comparison theorem involving scalar curvature for 3-manifolds follows from these same techniques.
(111 pages, 8 figures) This posting is my thesis (Stanford, 1997). I have not gotten around to publishing these results as of 2009, although I have always had the intention to do so. Since multiple papers have cited this thesis, I am posting it here
(111 pages, 8 figures) This posting is my thesis (Stanford, 1997). I have not gotten around to publishing these results as of 2009, although I have always had the intention to do so. Since multiple papers have cited this thesis, I am posting it here