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
  • [1] Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups
    Calvaruso, G.
    JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (02) : 498 - 515
  • [2] Invariant harmonic unit vector fields on Lie groups
    González-Dávila, JC
    Vanhecke, L
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2002, 5B (02): : 377 - 403
  • [3] On harmonic tensors on three-dimensional Lie groups with left-invariant Riemannian metric
    O. P. Gladunova
    E. D. Rodionov
    V. V. Slavskii
    Doklady Mathematics, 2008, 77 : 306 - 309
  • [4] On harmonic tensors on three-dimensional Lie groups with left-invariant Riemannian metric
    Gladunova, O. P.
    Rodionov, E. D.
    Slavskii, V. V.
    DOKLADY MATHEMATICS, 2008, 77 (02) : 306 - 309
  • [5] Harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric
    O. P. Gladunova
    E. D. Rodionov
    V. V. Slavskii
    Doklady Mathematics, 2009, 80 : 755 - 758
  • [6] Harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric
    Gladunova, O. P.
    Rodionov, E. D.
    Slavskii, V. V.
    DOKLADY MATHEMATICS, 2009, 80 (02) : 755 - 758
  • [7] Harmonic tensors on three-dimensional lie groups with left-invariant lorentz metric
    Gladunova O.P.
    Rodionov E.D.
    Slavskii V.V.
    Journal of Mathematical Sciences, 2014, 198 (5) : 505 - 545
  • [8] Invariant Ricci collineations on three-dimensional Lie groups
    Calvino-Louzao, E.
    Seoane-Bascoy, J.
    Vazquez-Abal, M. E.
    Vazquez-Lorenzo, R.
    JOURNAL OF GEOMETRY AND PHYSICS, 2015, 96 : 59 - 71
  • [9] INVARIANT NONHOLONOMIC RIEMANNIAN STRUCTURES ON THREE-DIMENSIONAL LIE GROUPS
    Barrett, Dennis I.
    Biggs, Rory
    Remsing, Claudiu C.
    Rossi, Olga
    JOURNAL OF GEOMETRIC MECHANICS, 2016, 8 (02): : 139 - 167
  • [10] Left Invariant Ricci Solitons on Three-Dimensional Lie Groups
    Moghaddam, Hamid Reza Salimi
    JOURNAL OF LIE THEORY, 2019, 29 (04) : 957 - 968
12345