On complete spacelike submanifolds in semi-Riemannian space forms with parallel normalized mean curvature vector

抄録

In this paper, by modifying Cheng-Yau's technique to complete spacelike submanifolds in Q_p^n+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].