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
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