CHARACTERIZE ON THE HEISENBERG GROUP WITH LEFT INVARIANT LORENTZIAN METRIC

被引：0
|
作者：
Turhan, Essin [1 ]
Korpinar, Talat [1 ]
机构：
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源：
DEMONSTRATIO MATHEMATICA | 2009年 / 42卷 / 02期
关键词：
Heisenberg group; Lorentz metric; geodesic;
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 consider the biharmonicity conditions for maps between Riemannian manifolds and we characterize non-geodesic biharmonic curve in Heisenberg group H-3 which is endowed with left invariant Lorentzian metric.
引用
收藏
页码：425 / 430
页数：6
相关论文
共 50 条
  • [1] Geodesics in the Heisenberg group Hn with a Lorentzian metric
    Tiren Huang
    Xiaoping Yang
    Journal of Dynamical and Control Systems, 2012, 18 : 479 - 498
  • [2] Geodesics in the Heisenberg group H n with a Lorentzian metric
    Huang, Tiren
    Yang, Xiaoping
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2012, 18 (04) : 479 - 498
  • [3] On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
    V. del Barco
    G. P. Ovando
    F. Vittone
    Mediterranean Journal of Mathematics, 2014, 11 : 137 - 153
  • [4] On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
    del Barco, V.
    Ovando, G. P.
    Vittone, F.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (01) : 137 - 153
  • [5] The left invariant metric in the general linear group
    Andruchow, E.
    Larotonda, G.
    Recht, L.
    Varela, A.
    JOURNAL OF GEOMETRY AND PHYSICS, 2014, 86 : 241 - 257
  • [6] Lorentzian geometry of the Heisenberg group
    Rahmani, N.
    Rahmani, S.
    GEOMETRIAE DEDICATA, 2006, 118 (01) : 133 - 140
  • [7] Classification of left-invariant metrics on the Heisenberg group
    Vukmirovic, Srdjan
    JOURNAL OF GEOMETRY AND PHYSICS, 2015, 94 : 72 - 80
  • [8] GROUP OF ISOMETRIES OF A LEFT INVARIANT RIEMANNIAN METRIC ON A LIE GROUP
    OCHIAI, T
    TAKAHASHI, T
    MATHEMATISCHE ANNALEN, 1976, 223 (01) : 91 - 96
  • [9] LOCAL SOLVABILITY OF LEFT INVARIANT DIFFERENTIAL OPERATORS ON THE HEISENBERG GROUP
    ROTHSCHILD, LP
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 74 (02) : 383 - 388
  • [10] ASSOCIATED LEFT-INVARIANT CONTACT METRIC STRUCTURES ON THE 7-DIMENSIONAL HEISENBERG GROUP H7.
    Slavolyubova, Ya., V
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2018, (54): : 34 - 45
12345