Spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$

Yingbo Han

Address: College of Mathematics and Information Science Xinyang Normal University Xinyang 464000, Henan, P. R. China

E-mail: yingbhan@yahoo.com.cn

Abstract: In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$, $(c>0)$. We also get some rigidity theorems for such spacelike submanifolds.

AMSclassification: primary 53C42; secondary 53B30.

Keywords: spacelike submanifolds, indefinite space form.