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Space-like submanifolds with parallel mean curvature in de Sitter spaces

Part of: Global differential geometry

Published online by Cambridge University Press:  09 April 2009

Chongzhen Ouyang  and
Zhenqi Li
Zhenqi Li
Affiliation:
Department of Mathematics Nanchang University Nachang330047 P. R. of China e-mail: zhengquili@263.net
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Abstract

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This paper investigates complete space-like submainfold with parallel mean curvature vector in the de Sitter space. Some pinching theorems on square of the norm of the second fundamental form are given

Keywords

de Sitter spacespace-like submanifoldmean curvature vectorparallel

MSC classification

Secondary: 53C40: Global submanifolds 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 69 , Issue 1 , August 2000 , pp. 1 - 7
Copyright
Copyright © Australian Mathematical Society 2000

References

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