Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics

Abstract

We investigate horizontal conformality of a differential of a map between Riemannian manifolds where the tangent bundles are equipped with Cheeger--Gromoll type metrics. As a corollary, we characterize the differential of a map as a harmonic morphism.

12 pages

References in corpus (3)

• Cheeger Gromoll type metrics on the tangent bundle
• The geometry of generalised Cheeger-Gromoll metrics
• Conformality of a differential with respect to Cheeger-Gromoll type metrics