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Harmonic morphisms from homogeneous Hadamard manifolds

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Abstract

We present a new method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Lund University, Box 118, 221 00, Lund, Sweden

    Sigmundur Gudmundsson & Jonas Nordström

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  1. Sigmundur Gudmundsson
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  2. Jonas Nordström
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Correspondence to Sigmundur Gudmundsson.

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Gudmundsson, S., Nordström, J. Harmonic morphisms from homogeneous Hadamard manifolds. Ann Glob Anal Geom 39, 215–230 (2011). https://doi.org/10.1007/s10455-010-9229-x

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  • DOI: https://doi.org/10.1007/s10455-010-9229-x

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Mathematics Subject Classification (2000)