Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals
(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:
https://lup.lub.lu.se/record/405647
- author
- Gudmundsson, Sigmundur LU and Svensson, Martin LU
- organization
- publishing date
- 2006
- 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}}, }