Hypersurfaces in a sphere with constant mean curvature-Reference-Cited by-同舟云学术

Hypersurfaces in a sphere with constant mean curvature

Published:1997 Issue:4 Volume:125 Page:1193-1196
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hou Zhong

Abstract

Let M n M^n be a closed hypersurface of constant mean curvature immersed in the unit sphere S n + 1 S^{n+1} . Denote by S S the square of the length of its second fundamental form. If S > 2 n − 1 S>2\sqrt {n-1} , M M is a small hypersphere in S n + 1 S^{n+1} . We also characterize all M n M^n with S = 2 n − 1 S=2\sqrt {n-1} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1997-125-04/S0002-9939-97-03668-X/S0002-9939-97-03668-X.pdf

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