One-harmonic invariant vector fields on three-dimensional Lie groups

被引：5
|
作者：
Calvino-Louzao, E. [1 ]
Seoane-Bascoy, J. [1 ]
Vazquez-Abal, M. E. [1 ]
Vazquez-Lorenzo, R. [1 ]
机构：
[1] Univ Santiago de Compostela, Fac Math, Dept Geometry & Topol, Santiago De Compostela 15782, Spain
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 06期
关键词：
Harmonic maps; Affine Killing; 1-harmonic vector field; TANGENT BUNDLE; METRICS; TRANSFORMATIONS;
D O I：
10.1016/j.geomphys.2012.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine all left-invariant vector fields on three-dimensional Lie groups which define harmonic sections of the corresponding tangent bundles, equipped with the complete lift metric. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：1532 / 1547
页数：16
相关论文
共 50 条
  • [11] On the existence of harmonic morphisms from three-dimensional Lie groups
    Gudmundsson, S.
    Svensson, M.
    HARMONIC MAPS AND DIFFERENTIAL GEOMETRY, 2011, 542 : 279 - +
  • [12] Invariant minimal unit vector fields on Lie groups
    Tsukada K.
    Vanhecke L.
    Periodica Mathematica Hungarica, 2000, 40 (2) : 123 - 133
  • [13] Left-invariant hypercontact structures on three-dimensional Lie groups
    Calvaruso, Giovanni
    Perrone, Antonella
    PERIODICA MATHEMATICA HUNGARICA, 2014, 69 (02) : 97 - 108
  • [14] Left-invariant hypercontact structures on three-dimensional Lie groups
    Giovanni Calvaruso
    Antonella Perrone
    Periodica Mathematica Hungarica, 2014, 69 : 97 - 108
  • [15] INVARIANT HARMONIC UNIT VECTOR FIELDS ON THE OSCILLATOR GROUPS
    Xu, Na
    Tan, Ju
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2019, 69 (04) : 907 - 924
  • [16] Invariant harmonic unit vector fields on the oscillator groups
    Na Xu
    Ju Tan
    Czechoslovak Mathematical Journal, 2019, 69 : 907 - 924
  • [17] Isometry groups of three-dimensional Lie groups
    Cosgaya, Ana
    Reggiani, Silvio
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2022, 61 (04) : 831 - 845
  • [18] Isometry groups of three-dimensional Lie groups
    Ana Cosgaya
    Silvio Reggiani
    Annals of Global Analysis and Geometry, 2022, 61 : 831 - 845
  • [19] Left-Invariant Riemann Solitons of Three-Dimensional Lorentzian Lie Groups
    Wang, Yong
    SYMMETRY-BASEL, 2021, 13 (02): : 1 - 10
  • [20] Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
    Ha, Ku Yong
    Lee, Jong Bum
    MATHEMATISCHE NACHRICHTEN, 2009, 282 (06) : 868 - 898
12345