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arXiv · 1310.5113

Harmonic morphisms from four dimensional Lie groups

Sigmundur Gudmundsson·Martin Svensson
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Abstract

We consider four dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension two. These foliations produce local complex-valued harmonic morphisms.

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Sigmundur Gudmundsson, Martin Svensson. 2013-10-18. Harmonic morphisms from four dimensional Lie groups. https://doi.org/10.1016/j.geomphys.2014.04.009

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