Harmonic morphisms from homogeneous Hadamard manifolds
Differential Geometry
2010-05-24 v2
Abstract
We present a new method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms
Cite
@article{arxiv.1004.1082,
title = {Harmonic morphisms from homogeneous Hadamard manifolds},
author = {Sigmundur Gudmundsson and Jonas Nordström},
journal= {arXiv preprint arXiv:1004.1082},
year = {2010}
}