The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature (thesis)

Details The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature (thesis) The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature (thesis)

2009-02-18

arxiv.org/abs/0902.3241v1

H. L. Bray, "The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature," thesis,

Mathematics

Differential Geometry

(111 pages, 8 figures) This posting is my thesis (Stanford, 1997). I have not gotten around to publishing these results as of

Scientific paper

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.

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