Sphere Rigidity in th Euclidean Space

Details Sphere Rigidity in th Euclidean Space Sphere Rigidity in th Euclidean Space

2007-10-26

arxiv.org/abs/0710.5041v1

Mathematics

Differential Geometry

Scientific paper

In this article, we prove new stability results for almost-Einstein
hypersurfaces of the Euclidean space, based on previous eigenvalue pinching
results. Then, we deduce some comparable results for almost-umbilic
hypersurfaces and new characterizations of geodesic spheres.

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