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Keywords:
hypersurfaces; rigidity; pinching; Ricci curvature; umbilicity tensor; higher order mean curvatures; $\theta $-quasi-isometry
hypersurfaces; rigidity; pinching; Ricci curvature; umbilicity tensor; higher order mean curvatures; $\theta $-quasi-isometry
Summary:
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 umbilical hypersurfaces.
References:
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