Spacelike hypersurfaces with constant $r$-th mean curvature in the anti-de Sitter spaces

Ximin Liu; Biaogui Wang

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Spacelike hypersurfaces with constant $r$-th mean curvature in the anti-de Sitter spaces

Ximin Liu * #,Biaogui Wang

Dalian University of Technology

*Correspondence author

#Submitted by

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Funding: 教育部博士点基金（No.20050141011）

Opened online:19 January 2009

Accepted by: none

Citation: Ximin Liu,Biaogui Wang.Spacelike hypersurfaces with constant $r$-th mean curvature in the anti-de Sitter spaces[OL]. [19 January 2009] http://en.paper.edu.cn/en_releasepaper/content/28031

In this paper we investigate spacelike hypersurfaces $M$ with constant $r$-th mean curvature and two distinct principal curvatures in anti-de Sitter space $\\mathbb{H}^{n+1}_1(c)$. We give some characterizations of the hyperbolic cylinders in $\\mathbb{H}^{n+1}_1(c)$.

Keywords:anti-de Sitter space;spacelike hypersurfaces;constant $r$-th mean curvature

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