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Harmonic morphisms from the classical compact semisimple Lie groups

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Author

Summary, in English

In this article, we introduce a new method for manufacturing harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with their standard Riemannian metrics. We develop a duality principle and show how this can be used to construct the first known examples of harmonic morphisms from the non-compact Lie groups SLn(R), SU*(2n), Sp(n,R), SO*(2n), SO(p, q), SU(p, q) and Sp(p, q) equipped with their standard dual semi-Riemannian metrics.

Department/s

Publishing year

2008

Language

English

Pages

343-356

Publication/Series

Annals of Global Analysis and Geometry

Volume

33

Issue

4

Document type

Journal article

Publisher

Springer

Topic

  • Geometry

Keywords

  • Lie groups
  • Harmonic morphisms
  • Minimal submanifolds

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 1572-9060