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

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

2009-08-04

arxiv.org/abs/0908.0423v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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.

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