Spacelike submanifolds with parallel mean curvature vector in S q n+p (1)

作者：Yang, D.^*; Li, L.

来源：Mathematical Notes, 2016, 100(1-2): 298-308.

DOI：10.1134/S0001434616070257

• mean curvature
• second fundamental form
• spacelike submanifolds
• de Sitter space
• Ricci curvature

Let M (n) be a complete spacelike submanifold in an indefinite space form S (q) (n+p) (1). When p = q, there are numerous rigidity results concerning submanifolds with parallel mean curvature vector. However, there are few results concerning the case q < p. In this paper, we will focus on this kind of submanifold and give some classifications of submanifolds with parallel mean curvature vector according to the squared norm of the second fundamental form.

• 出版日期2016-7
• 单位深圳大学; 辽宁大学