Harmonic morphisms from five-dimensional Lie groups

2013/12/10 by Gudmundsson, Sigmundur
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1312.2783

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.

Related

• Harmonic Morphisms on Lie groups and Minimal Conformal Foliations of Codimension two
• Harmonic Morphisms and Minimal Conformal Foliations on Lie Groups
• Conformal Minimal Foliations on Semi-Riemannian Lie Groups
• Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds
• Harmonic morphisms from homogeneous Hadamard manifolds