Geodesic
A remark on almost umbilical hypersurfaces
Archivum mathematicum, Tome 49 (2013) no. 1, pp. 1-7

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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.
DOI : 10.5817/AM2013-1-1
Classification : 53A07, 53A10, 53C20, 53C24
Keywords: hypersurfaces; rigidity; pinching; Ricci curvature; umbilicity tensor; higher order mean curvatures; $\theta $-quasi-isometry 
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Roth, Julien. A remark on almost umbilical hypersurfaces. Archivum mathematicum, Tome 49 (2013) no. 1, pp. 1-7. doi: 10.5817/AM2013-1-1

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