Abstract
We study left-invariant complex-valued harmonic morphisms from Riemannian Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.
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Acknowledgments
The author is grateful to Sigmundur Gudmundsson and Martin Svensson for useful discussions.
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Nordström, J. Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms. Ann Glob Anal Geom 45, 1–10 (2014). https://doi.org/10.1007/s10455-013-9383-z
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DOI: https://doi.org/10.1007/s10455-013-9383-z