SPHERICAL CAPS IN A CONVEX CONE

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Published: Aug 15, 2013
DOI: https://doi.org/10.14403/jcms.2013.26.3.601
Keywords:
spherical caps, mean curvature functions
Mathematics Subject Classification (2020):
Primary 53A35

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Taekwan Um

Abstract





We show that a compact embedded hypersurface with constant ratio of mean curvature functions in a convex cone C ⊂ Rn+1 is part of a hypersphere if it has a point where all the principal curvatures are positive and if it is perpendicular to ∂C.





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Article Details

Issue
Vol. 26 No. 3 (2013)
Section
Articles