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

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dc.creatorBray, Hubert L.
dc.date2009-02-18
dc.date.accessioned2026-07-07T12:44:05Z
dc.date.available2026-07-07T12:44:05Z
dc.descriptionIn 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.
dc.description(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
dc.identifierhttps://arxiv.org/abs/0902.3241
dc.identifierhttp://arxiv.org/abs/0902.3241
dc.identifierH. L. Bray, "The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature," thesis, Stanford University (1997)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220646
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C80
dc.titleThe Penrose inequality in general relativity and volume comparison theorems involving scalar curvature (thesis)
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