A new characterization of hyperbolic cylinder in anti-de Sitter space H-1(n+1)(-1)

摘要

By investigating n-dimensional complete maximal spacelike hypersurfaces with two distinct principal curvature in an (n+1)-dimensional anti-de Sitter space H-1(n+1)(-1), we give a new characterization of hyperbolic cylinder H-m (-(n)/(m)) X Hn-m (-(n)/(n-m)) in H-1(n+1) (-1). (c) 2006 Elsevier Inc. All rights reserved.