On harmonic vector fields.
Konderak, Jerzy J.
Publicacions Matemàtiques, Tome 36 (1992), p. 217-228 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1992-01-01
DMLE-ID : 3703 
@article{urn:eudml:doc:41156,
     title = {On harmonic vector fields.},
     journal = {Publicacions Matem\`atiques},
     volume = {36},
     year = {1992},
     pages = {217-228},
     zbl = {0755.53029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41156}
}

Konderak, Jerzy J. On harmonic vector fields.. Publicacions Matemàtiques, Tome 36 (1992) pp. 217-228. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41156/