p. 165 - 174 Spacelike hypersurfaces with constant r-th mean curvature in anti-de Sitter spaces Xi-Min Liu and Biao-Gui Yang Received: January 2, 2009; Revised: March 20, 2010; Accepted: March 26, 2010 Abstract. In this paper we investigate spacelike hypersurfaces with constant r-th mean curvature and two distinct principal curvatures in anti-de Sitter space H1n+1(c). We give some characterizations of the hyperbolic cylinders in H1n+1(c). Keywords: spacelike hypersurface; r-th mean curvature; principal curvature; isoparametric hypersurface AMS Subject classification: Primary: 53B30, 53C50 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2010, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |