Geodesic
New stability results for spheres and Wulff shapes
Communications in Mathematics, Tome 26 (2018) no. 2, pp. 153-167
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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}.
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}.
Classification : 53A10, 53C42
Keywords: Hypersurfaces; Anisotropic mean curvatures; Wulff Shape; Almost umibilcal 
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     url = {http://geodesic.mathdoc.fr/item/COMIM_2018_26_2_a6/}
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Roth, Julien. New stability results for spheres and Wulff shapes. Communications in Mathematics, Tome 26 (2018) no. 2, pp. 153-167. http://geodesic.mathdoc.fr/item/COMIM_2018_26_2_a6/

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