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

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