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arxiv: 0908.0423 · v1 · submitted 2009-08-04 · 🧮 math.DG

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

classification 🧮 math.DG
keywords differentialcheeger--gromollharmonicmetricsmorphismtypebundlescharacterize
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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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