Harmonic morphisms from four dimensional Lie groups

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.

Cited by in corpus (3)

• Conformal foliations on Lie groups and complex-valued harmonic morphisms
• Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds
• Conformal Minimal Foliations on Semi-Riemannian Lie Groups