Integral inequalities for maximal spacelike hypersurfaces in the indefinite space form

被引：0
|
作者：
Cao, XF [1 ]
机构：
[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1999年 / 10卷 / 02期
关键词：
maximal spacelike hypersurface; indefinite space form;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give two intrinsic integral inequalities for compact maximal spacelike hypersurfaces in the indefinite space form and a sufficient and necessary condition for such hypersurfaces to be totally geodesic.
引用
收藏
页码：155 / 159
页数：5
相关论文
共 50 条
  • [41] On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson–Walker spacetime
    Henrique F. de Lima
    Ulisses L. Parente
    Annali di Matematica Pura ed Applicata, 2013, 192 : 649 - 663
  • [42] WEYL ESTIMATES FOR SPACELIKE HYPERSURFACES IN DE SITTER SPACE
    Ballesteros-Chavez, Daniel
    Klingenberg, Wilhelm
    Lambert, Ben
    PACIFIC JOURNAL OF MATHEMATICS, 2022, 320 (01) : 1 - 11
  • [43] Ricci curvature of spacelike hypersurfaces in de Sitter space
    Zhu, Yecheng
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (04) : 517 - 523
  • [44] HYPERSURFACES OF A SPACE FORM
    HASANIS, T
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1983, 28 (06): : 489 - 492
  • [45] Spacelike hypersurfaces in anti-de Sitter space
    Zhu, Yecheng
    Hu, Wenming
    ADVANCES IN GEOMETRY, 2014, 14 (03) : 513 - 522
  • [46] On the curvatures of complete spacelike hypersurfaces in de Sitter space
    Aledo, JA
    Alías, LJ
    GEOMETRIAE DEDICATA, 2000, 80 (1-3) : 51 - 58
  • [47] On the Curvatures of Complete Spacelike Hypersurfaces in de Sitter Space
    Juan A. Aledo
    Luis J. Alías
    Geometriae Dedicata, 2000, 80 : 51 - 58
  • [48] ON THE EXISTENCE OF f-MAXIMAL SPACELIKE HYPERSURFACES IN CERTAIN WEIGHTED MANIFOLDS
    Oliveira, Arlandson M. S.
    de Lima, Henrique F.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 96 (02) : 317 - 325
  • [49] The First Eigenvalue of Spacelike Submanifolds in Indefinite Space Form R-p(n+p)
    Han, Yingbo
    Feng, Shuxiang
    ARCHIVUM MATHEMATICUM, 2011, 47 (02): : 77 - 82
  • [50] Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space
    Asayama, Mikuri
    Izumiya, Shyuichi
    Tamaoki, Aiko
    Yildirim, Handan
    REVISTA MATEMATICA IBEROAMERICANA, 2012, 28 (02) : 371 - 400
12345