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March 2011 On complete spacelike submanifolds in semi-Riemannian space forms with parallel normalized mean curvature vector
Xiaoli Chao
Kodai Math. J. 34(1): 42-54 (March 2011). DOI: 10.2996/kmj/1301576760

Abstract

In this paper, by modifying Cheng-Yau's technique to complete spacelike submanifolds in Qpn+p(c), we prove a rigidity theorem for complete spacelike submanifolds in the de Sitter space with parallel normalized mean curvature vector. As a corollary, we have the Corollary 1.1 of [7].

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Xiaoli Chao. "On complete spacelike submanifolds in semi-Riemannian space forms with parallel normalized mean curvature vector." Kodai Math. J. 34 (1) 42 - 54, March 2011. https://doi.org/10.2996/kmj/1301576760

Information

Published: March 2011
First available in Project Euclid: 31 March 2011

zbMATH: 1221.53075
MathSciNet: MR2786779
Digital Object Identifier: 10.2996/kmj/1301576760

Rights: Copyright © 2011 Tokyo Institute of Technology, Department of Mathematics

Vol.34 • No. 1 • March 2011
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