Harmonic morphisms from four dimensional Lie groups
Differential Geometry
2015-06-17 v3
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.
Keywords
Cite
@article{arxiv.1310.5113,
title = {Harmonic morphisms from four dimensional Lie groups},
author = {Sigmundur Gudmundsson and Martin Svensson},
journal= {arXiv preprint arXiv:1310.5113},
year = {2015}
}