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

Gudmundsson, Sigmundur LU orcid and Svensson, Martin LU (2006) In Differential Geometry and its Applications 24(4). p.351-366
Abstract
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.
Please use this url to cite or link to this publication:
author
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publishing date
type
Contribution to journal
publication status
published
subject
keywords
symmetric spaces, harmonic morphisms, minimal submanifolds
in
Differential Geometry and its Applications
volume
24
issue
4
pages
351 - 366
publisher
North-Holland
external identifiers
  • wos:000238527500003
  • scopus:33646885269
ISSN
1872-6984
DOI
10.1016/j.difgeo.2005.12.003
language
English
LU publication?
yes
id
142962c3-a436-419f-a1fd-ec4ac8f24bb6 (old id 405647)
date added to LUP
2016-04-01 11:36:48
date last changed
2022-01-26 07:37:31
@article{142962c3-a436-419f-a1fd-ec4ac8f24bb6,
  abstract     = {{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.}},
  author       = {{Gudmundsson, Sigmundur and Svensson, Martin}},
  issn         = {{1872-6984}},
  keywords     = {{symmetric spaces; harmonic morphisms; minimal submanifolds}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{351--366}},
  publisher    = {{North-Holland}},
  series       = {{Differential Geometry and its Applications}},
  title        = {{Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals}},
  url          = {{http://dx.doi.org/10.1016/j.difgeo.2005.12.003}},
  doi          = {{10.1016/j.difgeo.2005.12.003}},
  volume       = {{24}},
  year         = {{2006}},
}