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Harmonic morphisms from five-dimensional Lie groups

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Author

Summary, in English

We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.

Department/s

Publishing year

2016

Language

English

Pages

143-157

Publication/Series

Geometriae Dedicata

Volume

184

Issue

1

Document type

Journal article

Publisher

Springer

Topic

  • Geometry

Keywords

  • harmonic morphisms, minimal submanifolds, Lie groups

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 0046-5755