# On harmonic vector fields.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 1, page 217-228
- ISSN: 0214-1493

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topKonderak, Jerzy J.. "On harmonic vector fields.." Publicacions Matemàtiques 36.1 (1992): 217-228. <http://eudml.org/doc/41156>.

@article{Konderak1992,

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.},

author = {Konderak, Jerzy J.},

journal = {Publicacions Matemàtiques},

keywords = {Variedad riemanniana; Espacio fibrado; Aplicaciones; Tensor métrico; Sasakian metric; harmonic mappings; pseudo-Riemannian manifold},

language = {eng},

number = {1},

pages = {217-228},

title = {On harmonic vector fields.},

url = {http://eudml.org/doc/41156},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Konderak, Jerzy J.

TI - On harmonic vector fields.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 1

SP - 217

EP - 228

AB - 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.

LA - eng

KW - Variedad riemanniana; Espacio fibrado; Aplicaciones; Tensor métrico; Sasakian metric; harmonic mappings; pseudo-Riemannian manifold

UR - http://eudml.org/doc/41156

ER -

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