Home > Articles > Published articles > On harmonic vector fields |
Date: | 1992 |
Abstract: | 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. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Published in: | Publicacions matemàtiques, Vol. 36, Núm. 1 (1992) , p. 217-228, ISSN 2014-4350 |
12 p, 233.8 KB |