## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Rigidity theorem for complete spacelike submanifold in $S^{n+p}_q(1)$ with constant scalar curvature

Shicheng Zhang

#### 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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 19, Number 4 (2012), 733-746.

Dates
First available in Project Euclid: 23 November 2012

https://projecteuclid.org/euclid.bbms/1353695912

Digital Object Identifier
doi:10.36045/bbms/1353695912

Mathematical Reviews number (MathSciNet)
MR3009033

Zentralblatt MATH identifier
1262.53052

#### Citation

Zhang, Shicheng. Rigidity theorem for complete spacelike submanifold in $S^{n+p}_q(1)$ with constant scalar curvature. Bull. Belg. Math. Soc. Simon Stevin 19 (2012), no. 4, 733--746. doi:10.36045/bbms/1353695912. https://projecteuclid.org/euclid.bbms/1353695912