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December 1992 3-dimensional submanifolds of spheres with parallel mean curvature vector
Qing-Ming Cheng, Bin Jiang
Tsukuba J. Math. 16(2): 321-334 (December 1992). DOI: 10.21099/tkbjm/1496161966

Abstract

In this paper, for a 3-dimensional complete submanlfold $M$ with parallel mean curvature vector in $S^{3+p}(c)$ , we give a pinching condition of the Ricci curvature under which $M$ is a 3-dimensional small sphere.

Citation

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Qing-Ming Cheng. Bin Jiang. "3-dimensional submanifolds of spheres with parallel mean curvature vector." Tsukuba J. Math. 16 (2) 321 - 334, December 1992. https://doi.org/10.21099/tkbjm/1496161966

Information

Published: December 1992
First available in Project Euclid: 30 May 2017

zbMATH: 0782.53047
MathSciNet: MR1200430
Digital Object Identifier: 10.21099/tkbjm/1496161966

Rights: Copyright © 1992 University of Tsukuba, Institute of Mathematics

Vol.16 • No. 2 • December 1992
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