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

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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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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238, Łódź, Poland

    Wojciech Kozłowski & Kamil Niedziałomski

Authors
  1. Wojciech Kozłowski
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  2. Kamil Niedziałomski
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Correspondence to Kamil Niedziałomski.

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Kozłowski, W., Niedziałomski, K. Differential as a harmonic morphism with respect to Cheeger–Gromoll-type metrics. Ann Glob Anal Geom 37, 327–337 (2010). https://doi.org/10.1007/s10455-009-9187-3

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  • DOI: https://doi.org/10.1007/s10455-009-9187-3

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