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

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.

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Bibliographic Details
Published in:	Journal of geometry and physics Vol. 62; no. 6; pp. 1532 - 1547
Main Authors:	Calviño-Louzao, E., Seoane-Bascoy, J., Vázquez-Abal, M.E., Vázquez-Lorenzo, R.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-06-2012
Subjects:	1-harmonic vector field Affine Killing Harmonic maps 1-harmonic vector field Affine Killing 53B30 53C50 Harmonic maps
Online Access:	Get full text
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Description
Summary:	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.
ISSN:	0393-0440 1879-1662
DOI:	10.1016/j.geomphys.2012.02.010