Harmonic morphisms from homogeneous Hadamard manifolds

2010/04/07 by Sigmundur Gudmundsson, Jonas Nordström, Gudmundsson, Sigmundur +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.1004.1082

arxiv created 2010/05/21 · arxiv updated 2010/05/24

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

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