Geodesic
A remark on almost umbilical hypersurfaces
Archivum mathematicum, Tome 49 (2013) no. 1, pp. 1-7 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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