ON COMPLETE SPACELIKE SUBMANIFOLDS INSEMI-RIEMANNIAN SPACE FORMS WITH PARALLELNORMALIZED MEAN CURVATURE VECTOR

摘要

In this paper, by modifying Cheng-Yau's technique to complete spacelike sub-manifolds 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].