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arXiv:1101.5549 [math.DG]AbstractReferencesReviewsResources

Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity

Gregory J. Galloway

Published 2011-01-28Version 1

We examine some common features of minimal surfaces, nonzero constant mean curvature surfaces and marginally outer trapped surfaces, concerning their stability and rigidity, and consider some applications to Riemannian geometry and general relativity.

Comments: 21 pages. To appear in the book "Surveys in Geometric Analysis and Relativity celebrating Richard Schoen's 60th birthday."
Categories: math.DG, gr-qc
Subjects: 53C20, 83C57
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