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http://dx.doi.org/10.14403/jcms.2013.26.3.601

SPHERICAL CAPS IN A CONVEX CONE

Um, Taekwan (Department of Mathematics Konkuk University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 601-603 More about this Journal

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

spherical caps; mean curvature functions;

Citations & Related Records

Reference

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