Rigidity Results for Hypersurfaces in Space Forms

Abstract : We prove that a hypersurface of a space form with almost constant mean curvature and almost constant scalar curvature is close to a geodesic sphere. In the case of Euclidean space, we deduce new characterizations of geodesic spheres.
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Contributor : Julien Roth <>
Submitted on : Wednesday, October 8, 2008 - 10:41:12 AM
Last modification on : Wednesday, September 4, 2019 - 1:52:03 PM
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  • HAL Id : hal-00327308, version 1

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Julien Roth. Rigidity Results for Hypersurfaces in Space Forms. VIII International Colloquium in Differential Geometry, Jul 2008, Santiago de Compostela, Spain. pp.156-163. ⟨hal-00327308⟩

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