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Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals

På svenska

Author

Summary, in English

In this paper we prove the local existence of complex-valued harmonic morphisms from any compact semisimple Lie group and their non-compact duals. These include all Riemannian symmetric spaces of types II and IV. We produce a variety of concrete harmonic morphisms from the classical compact simple Lie groups SO(n), SU(n), Sp(n) and globally defined solutions on their non-compact duals SO(n, C)/SO(n), SLn (C)/SU(n) and Sp(n, C)/Sp(n). (c) 2005 Elsevier B.V. All rights reserved.

Department/s

Publishing year

2006

Language

English

Pages

351-366

Publication/Series

Differential Geometry and its Applications

Volume

24

Issue

4

Document type

Journal article

Publisher

North-Holland

Topic

  • Geometry

Keywords

  • symmetric spaces
  • harmonic morphisms
  • minimal submanifolds

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 1872-6984