Multiple convex hypersurfaces with prescribed mean curvature
Xi-Ping Zhu (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On the existence of convex hypersurfaces with prescribed mean curvature”
Multiple convex hypersurfaces with prescribed mean curvature
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We give a characterization of convex hypersurfaces with an equichordal point in terms of hedgehogs of constant width.
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Małgorzata Głogowska (2005)
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We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.
Type-II singularities of two-convex immersed mean curvature flow
Theodora Bourni, Mat Langford (2016)
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We show that any strictly mean convex translator of dimension n ≥ 3 which admits a cylindrical estimate and a corresponding gradient estimate is rotationally symmetric. As a consequence, we deduce that any translating solution of the mean curvature flow which arises as a blow-up limit of a two-convex mean curvature flow of compact immersed hypersurfaces of dimension n ≥ 3 is rotationally symmetric. The proof is rather robust, and applies to a more general class of translator equations....
Compact hypersurfaces with constant higher order mean curvatures.
Antonio Ros Mulero (1987)
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A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the only compact hypersurface (embedded or immersed) with constant higher order mean curvature H, for some r = 1, ..., n.