Open Access
September 2013 Complete spacelike hypersurfaces in the de Sitter space
Xiaoli Chao
Osaka J. Math. 50(3): 715-723 (September 2013).

Abstract

In this paper, by modifying Cheng--Yau's technique to complete spacelike hypersurfaces in the de Sitter ($n+1$)-space $S_{1}^{n+1}(1)$, we prove a rigidity under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related. As a corollary, we have the Theorem 1.1 of [3].

Citation

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Xiaoli Chao. "Complete spacelike hypersurfaces in the de Sitter space." Osaka J. Math. 50 (3) 715 - 723, September 2013.

Information

Published: September 2013
First available in Project Euclid: 27 September 2013

zbMATH: 1277.53048
MathSciNet: MR3128999

Subjects:
Primary: 53C40 , 53C42

Rights: Copyright © 2013 Osaka University and Osaka City University, Departments of Mathematics

Vol.50 • No. 3 • September 2013
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