Harmonic morphisms from the classical non-compact semisimple Lie groups
Gudmundsson, Sigmundur LU
and Sakovich, Anna
(2009)
In Differential Geometry and its Applications
27(1).
p.47-63
- Abstract
- We construct the first known complex-valued harmonic morphisms from the non-compact Lie groups View the MathML source, SU*(2n) and View the MathML source equipped with their standard Riemannian metrics. We then introduce the notion of a bi-eigenfamily and employ this to construct the first known solutions on the non-compact Riemannian SO*(2n), SO(p,q), SU(p,q) and Sp(p,q). Applying a duality principle we then show how to manufacture the first known complex-valued harmonic morphisms from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with semi-Riemannian metrics.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/829679
- author
- Gudmundsson, Sigmundur
LU
and Sakovich, Anna
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Harmonic morphisms, Minimal submanifolds, Lie groups
- in
- Differential Geometry and its Applications
- volume
- 27
- issue
- 1
- pages
- 47 - 63
- publisher
- North-Holland
- external identifiers
-
- wos:000263214000006
- scopus:58149382441
- ISSN
- 1872-6984
- DOI
- 10.1016/j.difgeo.2008.10.003
- language
- English
- LU publication?
- yes
- id
- afda8ff2-590f-4ca2-ac25-014efd5b1e88 (old id 829679)
- date added to LUP
- 2016-04-01 11:47:12
- date last changed
- 2022-01-26 18:13:28
@article{afda8ff2-590f-4ca2-ac25-014efd5b1e88,
abstract = {{We construct the first known complex-valued harmonic morphisms from the non-compact Lie groups View the MathML source, SU*(2n) and View the MathML source equipped with their standard Riemannian metrics. We then introduce the notion of a bi-eigenfamily and employ this to construct the first known solutions on the non-compact Riemannian SO*(2n), SO(p,q), SU(p,q) and Sp(p,q). Applying a duality principle we then show how to manufacture the first known complex-valued harmonic morphisms from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with semi-Riemannian metrics.}},
author = {{Gudmundsson, Sigmundur and Sakovich, Anna}},
issn = {{1872-6984}},
keywords = {{Harmonic morphisms; Minimal submanifolds; Lie groups}},
language = {{eng}},
number = {{1}},
pages = {{47--63}},
publisher = {{North-Holland}},
series = {{Differential Geometry and its Applications}},
title = {{Harmonic morphisms from the classical non-compact semisimple Lie groups}},
url = {{http://dx.doi.org/10.1016/j.difgeo.2008.10.003}},
doi = {{10.1016/j.difgeo.2008.10.003}},
volume = {{27}},
year = {{2009}},
}