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- W2916812972 abstract "We use a phase space analysis to give some classification results for rotational hypersurfaces in $mathbb{R}^{n+1}$ whose mean curvature is given as a prescribed function of its Gauss map. For the case where the prescribed function is an even function in $mathbb{S}^n$, we show that a Delaunay-type classification holds for this class of hypersurfaces. We also exhibit examples showing that the behavior of rotational hypersurfaces of prescribed (non-constant) mean curvature is much richer than in the constant mean curvature case." @default.
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- W2916812972 date "2019-02-25" @default.
- W2916812972 modified "2023-10-03" @default.
- W2916812972 title "Rotational hypersurfaces of prescribed mean curvature" @default.
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