Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
New characterizations of complete spacelike submanifolds in semi-Riemannian space forms
Fernanda Ester Camillo CamargoRosa Maria Barreiro ChavesLuiz Amancio Machado de Sousa Jr.
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2009 年 32 巻 2 号 p. 209-230

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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.
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© 2009 Department of Mathematics, Tokyo Institute of Technology
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