1.School of Mathematics
and Computer Science, Fujian Normal University, Fuzhou 350007, China; 2.Department of Mathematics,
South China University of Technology, Guangzhou 510641, China;
Abstract:
In this paper, we investigate the complete spacelike hypersurfaces with constant mean curvature and two distinct principal
curvatures in an anti-de Sitter space. We give a characterization of hyperbolic cylinder and prove the conjecture in a paper
by L. F. Cao and G. X. Wei J. Math. Anal. Appl., 2007, 329(1): 408–414].