New characterizations of complete spacelike submanifolds in semi-Riemannian space forms
Camargo, Fernanda Ester Camillo ; Chaves, Rosa Maria Barreiro ; Sousa Jr., Luiz Amancio Machado de
Kodai Math. J., Tome 32 (2009) no. 1, p. 209-230 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2009-06-15
Classification:  
@article{1245982904,
     author = {Camargo, Fernanda Ester Camillo and Chaves, Rosa Maria Barreiro and Sousa Jr., Luiz Amancio Machado de},
     title = {New characterizations of complete spacelike submanifolds in semi-Riemannian space forms},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 209-230},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245982904}
}

Camargo, Fernanda Ester Camillo; Chaves, Rosa Maria Barreiro; Sousa Jr., Luiz Amancio Machado de. New characterizations of complete spacelike submanifolds in semi-Riemannian space forms. Kodai Math. J., Tome 32 (2009) no. 1, pp.  209-230. http://gdmltest.u-ga.fr/item/1245982904/