Harmonic morphisms from the classical compact semisimple Lie groups
Gudmundsson, Sigmundur LU
and Sakovich, Anna
(2008)
In Annals of Global Analysis and Geometry
33(4).
p.343-356
- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/829416
- author
- Gudmundsson, Sigmundur
LU
and Sakovich, Anna
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Lie groups, Harmonic morphisms, Minimal submanifolds
- in
- Annals of Global Analysis and Geometry
- volume
- 33
- issue
- 4
- pages
- 343 - 356
- publisher
- Springer
- external identifiers
-
- wos:000255189300004
- scopus:42549138868
- ISSN
- 1572-9060
- DOI
- 10.1007/s10455-007-9090-8
- language
- English
- LU publication?
- yes
- id
- 7ad0abca-455e-42c3-a36d-389f2d380173 (old id 829416)
- alternative location
- http://www.springerlink.com/content/a8u5m47470076237/fulltext.pdf
- date added to LUP
- 2016-04-01 11:58:26
- date last changed
- 2022-03-20 21:39:12
@article{7ad0abca-455e-42c3-a36d-389f2d380173,
abstract = {{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.}},
author = {{Gudmundsson, Sigmundur and Sakovich, Anna}},
issn = {{1572-9060}},
keywords = {{Lie groups; Harmonic morphisms; Minimal submanifolds}},
language = {{eng}},
number = {{4}},
pages = {{343--356}},
publisher = {{Springer}},
series = {{Annals of Global Analysis and Geometry}},
title = {{Harmonic morphisms from the classical compact semisimple Lie groups}},
url = {{http://dx.doi.org/10.1007/s10455-007-9090-8}},
doi = {{10.1007/s10455-007-9090-8}},
volume = {{33}},
year = {{2008}},
}