Harmonic \(\varphi\)-morphisms
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.
scientific article; zbMATH DE number 1973827