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

页码：1532 / 1547

页数：16