Geodesic
COMPLETE SPACE-LIKE SUBMANIFOLDS IN DE SITTER SPACE
Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2 
X. Liu. COMPLETE SPACE-LIKE SUBMANIFOLDS IN  DE SITTER SPACE. Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a8/
@article{AMUC_2001_70_2_a8,
     author = {X. Liu},
     title = {COMPLETE {SPACE-LIKE} {SUBMANIFOLDS} {IN}  {DE} {SITTER} {SPACE}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2001},
     volume = {70},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a8/}
}
TY  - JOUR
AU  - X. Liu
TI  - COMPLETE SPACE-LIKE SUBMANIFOLDS IN  DE SITTER SPACE
JO  - Acta mathematica Universitatis Comenianae
PY  - 2001
VL  - 70
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a8/
ID  - AMUC_2001_70_2_a8
ER  - 
%0 Journal Article
%A X. Liu
%T COMPLETE SPACE-LIKE SUBMANIFOLDS IN  DE SITTER SPACE
%J Acta mathematica Universitatis Comenianae
%D 2001
%V 70
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a8/
%F AMUC_2001_70_2_a8

Voir la notice de l'article provenant de la source Comenius University

In this paper, we characterize the complete space-like submanifolds with parallel mean curvature vector satisfying $H^2=\frac{4(n-1)c}{n^2}$ in the de Sitter space completely.