FLAT TIME-LIKE SUBMANIFOLDS IN ANTI-DE SITTER SPACE H12n-1 (-1)

被引:0
|
作者
ZUO DAFENG CHEN QING CHENG YI Department of Mathematics
Department of Mathematical Sciences
机构
基金
中国国家自然科学基金;
关键词
Dressing action; G(n-1); (n-1)1; 1-System; Flat time-like submanifold;
D O I
暂无
中图分类号
O186.1 [微分几何];
学科分类号
摘要
By using dressing actions of the G(n1,n-1)1,1-system, the authors study geometric transformations for flat time-like n-submanifolds with flat, non-degenerate normal bundle in anti-de Sitter space H1(2n-1)(-1), where G(n-1,n-1)1,1 = O(2n - 2, 2)/O(n - 1,1)×O(n-1, 1).
引用
收藏
页码:457 / 466
页数:10
相关论文
共 50 条
  • [1] Flat time-like submanifolds in anti-de Sitter space H2n-11 (-1)
    Zuo, DF
    Chen, Q
    Cheng, Y
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2005, 26 (03) : 457 - 466
  • [2] Geometry of 1-lightlike submanifolds in anti-de Sitter n-space
    Wang, Zhigang
    Pei, Donghe
    Chen, Liang
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2013, 143 (05) : 1089 - 1113
  • [3] THERMAL STATES IN ANTI-DE SITTER SPACE-TIME AND THE ROLE OF TIME-LIKE INFINITY
    VANZO, L
    TURCO, G
    PHYSICAL REVIEW D, 1994, 50 (08): : 5148 - 5154
  • [4] COMPLETE SPACELIKE HYPERSURFACES IN ANTI-DE SITTER SPACE H1n+1(-1)
    Suh, Young Jin
    Wei, Guoxin
    HOUSTON JOURNAL OF MATHEMATICS, 2009, 35 (01): : 93 - 102
  • [5] A new characterization of hyperbolic cylinder in anti-de Sitter space H1n+1(-1)
    Cao, Linfen
    Wei, Guoxin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 408 - 414
  • [6] Spacelike submanifolds of codimension two in anti-de Sitter space
    Pei, Donghe
    Wang, Yongqiao
    APPLICABLE ANALYSIS, 2019, 98 (06) : 1165 - 1180
  • [7] Flat time-like submanifolds in S2q2n-1(1)
    Zuo, DF
    Chen, Q
    Cheng, Y
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (47): : 10197 - 10204
  • [9] New characterizations of totally geodesic hypersurfaces in anti-de Sitter space H1n+1
    Camargo, F.
    de Lima, H.
    JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (10) : 1326 - 1332
  • [10] Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space H1n+1 (−1)
    Guoxin Wei
    Qiuli Liu
    Young Jin Suh
    Czechoslovak Mathematical Journal, 2009, 59 : 343 - 351