Quasi-local mass functionals and generalized inverse mean curvature flow
type: Item
instance of: scholarly article
title: Quasi-local mass functionals and generalized inverse mean curvature flow
zbMATH Open document ID: 1189.53068
author: Jeffrey D. Sweets
published in: Communications in Analysis and Geometry
publication date: 2008-10-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.cag/1217537555
review text: The inverse mean curvature flow is considered, motivated by two applications in general relativity theory, both follows the works of Hubert Bray. The first one concerns a one-parameter family of quasi-local mass functionals, which are monotone with respect to inverse mean curvature flow, that implies the estimations for AMD mass. The second one comes from the study of negative point mass singularities. The author shows that weak solutions exist for a wide class of flows. Particulary, a Penrose-type inequality for connected surfaces is an corollary.
reviewed by: V. S. Kalnitsky
Mathematics Subject Classification ID: 53C44
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 5348650
zbMATH Keywords: mean curvature flow
zbMATH Keywords: mass functionals
zbMATH Keywords: asymptoticaly flat manifolds
MaRDI profile type: Publication
DOI: 10.4310/CAG.2008.V16.N3.A2
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description: scientific article; zbMATH DE number 5348650