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november 2012 Rigidity theorem for complete spacelike submanifold in $S^{n+p}_q(1)$ with constant scalar curvature
Shicheng Zhang
Bull. Belg. Math. Soc. Simon Stevin 19(4): 733-746 (november 2012). DOI: 10.36045/bbms/1353695912

Abstract

In this paper, the complete spacelike submanifold with parallel normalized mean curvature vector and constant normalized scalar curvature is discussed in $(n+p)$-dimensional connected semi-Riemannian manifold $S^{n+p}_q(1)$ $(1\leq q\leq p)$ and a rigidity theorem is obtained.

Citation

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Shicheng Zhang. "Rigidity theorem for complete spacelike submanifold in $S^{n+p}_q(1)$ with constant scalar curvature." Bull. Belg. Math. Soc. Simon Stevin 19 (4) 733 - 746, november 2012. https://doi.org/10.36045/bbms/1353695912

Information

Published: november 2012
First available in Project Euclid: 23 November 2012

zbMATH: 1262.53052
MathSciNet: MR3009033
Digital Object Identifier: 10.36045/bbms/1353695912

Subjects:
Primary: 53C24 , 53C42 , 53C50

Keywords: constant normalized scalar curvature , semi-Riemannian manifold , spacelike submanifold

Rights: Copyright © 2012 The Belgian Mathematical Society

Vol.19 • No. 4 • november 2012
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