Rigidity Results for Geodesic Spheres in Space Forms

نویسنده

  • Julien Roth
چکیده

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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تاریخ انتشار 2008