SPHERE-FOLIATED MINIMAL AND CONSTANT MEAN CURVATURE HYPERSURFACES IN PRODUCT SPACES

Title & Authors
SPHERE-FOLIATED MINIMAL AND CONSTANT MEAN CURVATURE HYPERSURFACES IN PRODUCT SPACES
Seo, Keom-Kyo;

Abstract
In this paper, we prove that minimal hypersurfaces when n $\small{\geq}$ 3 and nonzero constant mean curvature hypersurfaces when n $\small{\geq}$ 2 foliated by spheres in parallel horizontal hyperplanes in $\small{\mathbb{H}^n{\times}\mathbb{R}}$ must be rotationally symmetric.
Keywords
foliation;constant mean curvature;rotationally symmetric hypersurface;product space;
Language
English
Cited by
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