English

On the existence of harmonic morphisms from three-dimensional Lie groups

Differential Geometry 2010-03-23 v1

Abstract

In this paper we classify those three-dimensional Riemannian Lie groups which admit harmonic morphisms to surfaces.

Keywords

Cite

@article{arxiv.1003.3934,
  title  = {On the existence of harmonic morphisms from three-dimensional Lie groups},
  author = {Sigmundur Gudmundsson and Martin Svensson},
  journal= {arXiv preprint arXiv:1003.3934},
  year   = {2010}
}
R2 v1 2026-06-21T15:00:14.763Z