Abstract

By investigating n-dimensional complete maximal spacelike hypersurfaces with two distinct principal curvatures 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 ) × H n − m ( − n n − m ) in H 1 n + 1 ( − 1 ) .

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