On harmonic vector fields

Google Scholar: citas

Fecha:	1992
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.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Publicado en:	Publicacions matemàtiques, Vol. 36, Núm. 1 (1992) , p. 217-228, ISSN 2014-4350

12 p, 233.8 KB

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