Harmonic morphisms from homogeneous Hadamard manifolds

Details Harmonic morphisms from homogeneous Hadamard manifolds Harmonic morphisms from homogeneous Hadamard manifolds

2010-04-07

arxiv.org/abs/1004.1082v2

Mathematics

Differential Geometry

Scientific paper

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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