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

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

2011-01-28

arxiv.org/abs/1101.5549v1

Mathematics

Differential Geometry

21 pages. To appear in the book "Surveys in Geometric Analysis and Relativity celebrating Richard Schoen's 60th birthday."

Scientific paper

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.

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