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Keywords:
Hypersurfaces; Anisotropic mean curvatures; Wulff Shape; Almost umibilcal
Hypersurfaces; Anisotropic mean curvatures; Wulff Shape; Almost umibilcal
Summary:
We prove that a closed convex hypersurface of the Euclidean space with almost constant anisotropic first and second mean curvatures in the $L^p$-sense is $W^{2,p}$-close (up to rescaling and translations) to the Wulff shape. We also obtain characterizations of geodesic hyperspheres of space forms improving those of \cite {Ro1} and \cite {Ro}.
References:
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