# ON COMPLETE SPACELIKE (r-1)-MAXIMAL HYPERSURFACES IN THE ANTI-DE SITTER SPACE H1n+1

• Yang, Biaogui (SCHOOL OF MATHEMATICS AND COMPUTER SCIENCES FUJIAN NORMAL UNIVERSITY)
• Received : 2009.04.10
• Published : 2010.09.30

#### Abstract

In this paper we investigate complete spacelike (r - 1)-maximal (i.e., $H_r\;{\equiv}\;0$) hypersurfaces with two distinct principal curvatures in the anti-de Sitter space $\mathbb{H}_1^{n+1}$(-1). We give a characterization of the hyperbolic cylinder.

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