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arXiv · 0908.0423

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

Wojciech Kozlowski·Kamil Niedzialomski
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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.

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Wojciech Kozlowski, Kamil Niedzialomski. 2009-08-04. Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics. https://arxiv.org/abs/0908.0423

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