Hypersurfaces in a sphere

with constant mean curvature

Author:
Zhong Hua Hou

Journal:
Proc. Amer. Math. Soc. **125** (1997), 1193-1196

MSC (1991):
Primary 53C42, 53A10

DOI:
https://doi.org/10.1090/S0002-9939-97-03668-X

MathSciNet review:
1363169

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a closed hypersurface of constant mean curvature immersed in the unit sphere . Denote by the square of the length of its second fundamental form. If , is a small hypersphere in . We also characterize all with .

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Additional Information

**Zhong Hua Hou**

Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Japan;
Department of Applied Mathematics, Dalian University of Technology, People’s Republic of China

Email:
hou@math.titech.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-97-03668-X

Received by editor(s):
July 27, 1995

Communicated by:
Peter Li

Article copyright:
© Copyright 1997
American Mathematical Society