On harmonic vector fields

Autores: Jerzy J. Konderak
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 1, 1992, págs. 217-228
Idioma: inglés
DOI: 10.5565/publmat_36192_17
Títulos paralelos:
- Sobre campos vectoriales armónicos
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Resumen
- A tangent bundle to a Riemannian manifold carries various metrics induced by a Riemannian tensor. We consider harmonic vector fields with respect to some of these metrics. We give a simple proof that a vector field on a compact manifold is harmonic with respect to the Sasaki metric on TM if and only if it is parallel. We also consider the metrics II and I + II on a tangent bundle (cf. [YI]) and harmonic vector fields generated by them.