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SPHERICAL CAPS IN A CONVEX CONE

  • Um, Taekwan (Department of Mathematics Konkuk University)
  • Received : 2013.05.09
  • Accepted : 2013.07.19
  • Published : 2013.08.15

Abstract

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 ${\partial}C$.

Keywords

References

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