Spacelike hypersurfaces in de Sitter space

被引:0
|
作者
Zhu, Yecheng [1 ]
机构
[1] Anhui Univ Technol, Dept Appl Math, Maanshan 243002, Anhui, Peoples R China
来源
关键词
spacelike hypersurfaces; de Sitter space; fundamental group; second fundamental form; mean curvature; CONSTANT MEAN-CURVATURE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the close spacelike hypersurfaces in de Sitter space. Using Bonnet-Myer's theorem, we prove a rigidity theorem for spacelike hypersurfaces without the constancy condition on the mean curvature or the scalar curvature.
引用
收藏
页码:90 / 99
页数:10
相关论文
共 50 条
  • [21] SPACELIKE HYPERSURFACES WITH CONSTANT S OR K IN DE SITTER SPACE OR ANTI-DE SITTER SPACE
    Shu, S.
    Chen, J.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (04): : 835 - 855
  • [22] On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space
    Henrique F. de Lima
    Marco A. L. Velásquez
    Bulletin of the Brazilian Mathematical Society, New Series, 2013, 44 : 49 - 65
  • [23] On spacelike hypersurfaces with constant scalar curvature in the de Sitter space
    Hu, Zejun
    Scherfner, Mike
    Zhai, Shujie
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2007, 25 (06) : 594 - 611
  • [24] Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space
    Kasedou M.
    Journal of Geometry, 2009, 94 (1-2) : 107 - 121
  • [25] On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space
    Aquino, Cicero P.
    de Lima, Henrique F.
    Velasquez, Marco Antonio L.
    GEOMETRIAE DEDICATA, 2015, 174 (01) : 13 - 23
  • [26] On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space
    Cícero P. Aquino
    Henrique F. de Lima
    Marco Antonio L. Velásquez
    Geometriae Dedicata, 2015, 174 : 13 - 23
  • [27] On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space
    Aledo, JA
    Alías, LJ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (04) : 1145 - 1151
  • [28] Complete spacelike hypersurfaces in the de Sitter space with prescribed Gauss map
    Aquino, Cicero P.
    Bezerra, Kelton S.
    de Lima, Henrique F.
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2015, 23 (03) : 671 - 689
  • [29] NEW CHARACTERIZATIONS OF LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN THE DE SITTER SPACE
    Alias, Luis J.
    de Lima, Henrique F.
    dos Santos, Fabio R.
    PACIFIC JOURNAL OF MATHEMATICS, 2018, 292 (01) : 1 - 19