Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics
Differential Geometry
2009-08-05 v1
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.
Keywords
Cite
@article{arxiv.0908.0423,
title = {Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics},
author = {Wojciech Kozlowski and Kamil Niedzialomski},
journal= {arXiv preprint arXiv:0908.0423},
year = {2009}
}
Comments
12 pages