ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 70,   2   (2001)
pp.   241-249

COMPLETE SPACE-LIKE SUBMANIFOLDS IN DE SITTER SPACE
X. Liu

Abstract.  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.

AMS subject classification.  53C40, 53C42, 53A10
Keywords.  Space-like submanifold, hyperbolic cylinder, parallel mean curvature