SPACELIKE HYPERSURFACES WITH CONSTANT r-TH MEAN CURVATURE IN ANTI-DE SITTER SPACES

被引:0
作者
Yang, Biao-Gui [1 ]
Liu, Xi-Min [2 ]
机构
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
[2] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
来源
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2010年 / 79卷 / 02期
关键词
spacelike hypersurface; r-th mean curvature; principal curvature; isoparametric hypersurface;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we investigate spacelike hypersurfaces with constant r-th mean curvature and two distinct principal curvatures in anti-de Sitter space H-1(n+1)(c). We give some characterizations of the hyperbolic cylinders in H-1(n+1)(c).
引用
收藏
页码:165 / 174
页数:10
相关论文
共 9 条
[1]   A new characterization of hyperbolic cylinder in anti-de Sitter space H1n+1(-1) [J].
Cao, Linfen ;
Wei, Guoxin .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) :408-414
[2]  
ISHIHARA T, 1988, MICH MATH J, V35, P345
[3]  
Li Z.-Q., 2006, FRONT MATH CHINA, V1, P130, DOI DOI 10.1007/S11464-005-0026-Y
[4]   A characterization of hyperbolic cylinders in the de Sitter space [J].
Montiel, S .
TOHOKU MATHEMATICAL JOURNAL, 1996, 48 (01) :23-31
[6]  
O'Neill B., 1983, SEMIRIEMANNIAN GEOME
[8]  
Yang B. G., PREPRINT
[9]   Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space [J].
Yang, Biaogui ;
Liu, Ximin .
FRONTIERS OF MATHEMATICS IN CHINA, 2009, 4 (04) :727-737