Harmonic morphisms from five-dimensional Lie groups
Differential Geometry
2016-04-07 v3
Abstract
We consider 5-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we give a partial classification of left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.
Keywords
Cite
@article{arxiv.1312.2783,
title = {Harmonic morphisms from five-dimensional Lie groups},
author = {Sigmundur Gudmundsson},
journal= {arXiv preprint arXiv:1312.2783},
year = {2016}
}