Harmonic \(\varphi\)-morphisms
type: Item
instance of: scholarly article
title: Harmonic \(\varphi\)-morphisms
zbMATH Open document ID: 1045.53044
published in: Beiträge zur Algebra und Geometrie
publication date: 2003-09-02T00:00:00Z
full work available at URL: https://eudml.org/doc/231556
full work available at URL: 2.html
review text: The authors characterize the harmonicity of \(\varphi\)-morphisms \(\Phi:TM\rightarrow TN\) which cover a map \(\varphi:M\rightarrow N\) between manifolds, when the tangent bundles carry the complete metric. Among numerous other results, it is proved that the mapping \(\varphi\) is a harmonic morphism iff \(d\varphi\) is a harmonic \(\varphi\)-morphism. Examples and applications to \((1,1)\)-tensor fields are provided as well.
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1973827
zbMATH Keywords: harmonic morphism
zbMATH Keywords: harmonic map
zbMATH Keywords: complete lift metric
zbMATH Keywords: tangent bundle
zbMATH Keywords: \(\varphi\)-morphism
author: Cornelia-Livia Bejan
author: M. Benyounes
reviewed by: Vladimir Balan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1973827