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

2010/03/20 by Sigmundur Gudmundsson, Gudmundsson, Sigmundur, Martin Svensson +1
Mathematics · #53C12 #53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C12 #msc:53C43 #msc:58E20

paper · pdf · doi:10.48550/arxiv.1003.3934

arxiv created 2010/03/20 · arxiv updated 2010/03/23

Abstract

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

Related

• Harmonic morphisms from solvable Lie groups
• Harmonic morphisms from three-dimensional Euclidean and spherical space forms
• Harmonic morphisms from five-dimensional Lie groups
• Harmonic morphisms from the classical compact semisimple Lie groups
• Harmonic morphisms from homogeneous Hadamard manifolds