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Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms

Authors :
Jonas Nordström
Source :
Annals of Global Analysis and Geometry. 45:1-10
Publication Year :
2013
Publisher :
Springer Science and Business Media LLC, 2013.

Abstract

We study left-invariant complex-valued harmonic morphisms from Riemannian Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.

Subjects

Subjects :
Pure mathematics
Riemannian submersion
Simple Lie group
Real form
Lie group
Representation theory
Algebra
symbols.namesake
Adjoint representation of a Lie algebra
Representation of a Lie group
symbols
Mathematics::Differential Geometry
Geometry and Topology
Lie theory
Analysis
Mathematics

Details

ISSN :
15729060 and 0232704X
Volume :
45
Database :
OpenAIRE
Journal :
Annals of Global Analysis and Geometry
Accession number :
edsair.doi...........033a4901c03e54de18f00f51b35cafad

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