New characterizations of complete spacelike submanifolds in semi-Riemannian space forms

Kodai Mathematical Journal

Luiz Amancio Machado de Sousa Jr.³  Rosa Maria Barreiro Chaves¹  Fernanda Ester Camillo Camargo² 

[1] Instituto de Matemática e Estatística Universidade de São Paulo;Departamento de Matemática Universidade Federal do Ceará;Departamento de Matemática e Estatística Universidade Federal do Estado do Rio de Janeiro

关键词: De Sitter space;    complete spacelike hypersurfaces;    constant scalar curvature;   

DOI  :  10.2996/kmj/1245982904

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(33)In this paper we study n-dimensional complete spacelike submanifolds with constant normalized scalar curvature immersed in semi-Riemannian space forms. By extending Cheng-Yau's technique to these ambients, we obtain results to such submanifolds satisfying certain conditions on both the squared norm of the second fundamental form and the mean curvature. We also characterize compact non-negatively curved submanifolds in De Sitter space of index p.

【 授权许可】

Unknown