• Title/Summary/Keyword: C-26

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SPHERICAL CAPS IN A CONVEX CONE

  • Um, Taekwan
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.3
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    • pp.601-603
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    • 2013
  • We show that a compact embedded hypersurface with constant ratio of mean curvature functions in a convex cone $C{\subset}\mathbb{R}^{n+1}$ is part of a hypersphere if it has a point where all the principal curvatures are positive and if it is perpendicular to ${\partial}C$.