Sphere Rigidity in the Euclidean Space Julien
نویسنده
چکیده
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 almostumbilic hypersurfaces and new characterizations of geodesic spheres.
منابع مشابه
Rigidity Results for Geodesic Spheres in Space Forms
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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