Czechoslovak Mathematical Journal, Vol. 59, No. 2, pp. 343-351, 2009

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_1^{n+1}(-1)$

Guoxin Wei, Qiuli Liu, Young Jin Suh

G. Wei, Department of Mathematics, Faculty of Science and Engineering, Saga University, 840-8502, Saga, Japan, e-mail: wei@ms.saga-u.ac.jp; Q. Liu, School of Mathematics and Computational Science, Sun Yat-sen University, 510275, Guangzhou, P. R. China, e-mail: liuql2007@yahoo.cn; Y. J. Suh, Department of Mathematics, Kyungpook National University, 702-701, Taegu, South Korea, e-mail: yjsuh@mail.knu.ac.kr

Abstract: In this paper, we study closed $k$-maximal spacelike hypersurfaces $M^n$ in anti-de Sitter space $H_1^{n+1}(-1)$ with two distinct principal curvatures and give some integral formulas about these hypersurfaces.

Keywords: anti-de Sitter space, $k$th mean curvature, Gauss equations

Classification (MSC 2000): 53B30, 53C50, 53Z05, 53C40


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