2 papers
math.DG2007
Harmonic morphisms from solvable Lie groups
Sigmundur Gudmundsson, Martin Svensson
In this paper we introduce two new methods for constructing harmonic morphisms from solvable Lie groups. The first method yields global solutions from any simply connected nilpoten…
math.DG2007
Harmonic morphisms from the classical non-compact semisimple Lie groups
Sigmundur Gudmundsson, Anna Sakovich
We construct the first known complex valued harmonic morphisms from the non-compact Lie groups SL(n,R), SU*(2n) and Sp(n,R) equipped with their standard Riemannian metrics. We then…