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Harmonic morphisms from the classical non-compact semisimple Lie groups

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Author

Summary, in English

We construct the first known complex-valued harmonic morphisms from the non-compact Lie groups View the MathML source, SU*(2n) and View the MathML source equipped with their standard Riemannian metrics. We then introduce the notion of a bi-eigenfamily and employ this to construct the first known solutions on the non-compact Riemannian SO*(2n), SO(p,q), SU(p,q) and Sp(p,q). Applying a duality principle we then show how to manufacture the first known complex-valued harmonic morphisms from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with semi-Riemannian metrics.

Department/s

Publishing year

2009

Language

English

Pages

47-63

Publication/Series

Differential Geometry and its Applications

Volume

27

Issue

1

Document type

Journal article

Publisher

North-Holland

Topic

  • Geometry

Keywords

  • Harmonic morphisms
  • Minimal submanifolds
  • Lie groups

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 1872-6984