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- W2735516988 abstract "We prove that in Euclidean space $R^{n+1}$ any compact immersed nonnegatively curved hypersurface $M$ with free boundary on the sphere $S^n$ is an embedded convex topological disk. In particular, when the $m^{th}$ mean curvature of $M$ is constant, for any $1leq mleq n$, $M$ is a spherical cap or an equatorial disk." @default.
- W2735516988 created "2017-07-21" @default.
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- W2735516988 date "2017-07-11" @default.
- W2735516988 modified "2023-10-16" @default.
- W2735516988 title "Nonnegatively curved hypersurfaces with free boundary on a sphere" @default.
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- W2735516988 doi "https://doi.org/10.48550/arxiv.1707.03323" @default.
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