Complete minimal submanifolds of compact Lie groups
Gudmundsson, Sigmundur LU
; Svensson, Martin
and Ville, Martina
(2016)
In Mathematische Zeitschrift
282.
p.993-1005
- Abstract
- We give a new method for manifacturing complete minimal
submanifolds of compact Lie groups and their
homogeneous quotient spaces. For this we make use of harmonic
morphisms and basic representation theory of Lie groups.
We then employ our method to construct many examples of compact
minimal submanifolds of the special unitary groups.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3994135
- author
- Gudmundsson, Sigmundur
LU
; Svensson, Martin
and Ville, Martina
- organization
- publishing date
- 2016
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- harmonic morphisms, minimal submanifolds, Lie groups
- in
- Mathematische Zeitschrift
- volume
- 282
- pages
- 13 pages
- publisher
- Springer
- external identifiers
-
- wos:000372303100020
- scopus:84961176597
- ISSN
- 0025-5874
- DOI
- 10.1007/s00209-015-1574-9
- language
- English
- LU publication?
- yes
- additional info
- First online: 28 November 2015
- id
- 4385f6d1-48a6-4009-9518-621664caeb40 (old id 3994135)
- date added to LUP
- 2016-04-01 11:07:33
- date last changed
- 2022-03-05 01:49:27
@article{4385f6d1-48a6-4009-9518-621664caeb40,
abstract = {{We give a new method for manifacturing complete minimal<br/><br>
submanifolds of compact Lie groups and their<br/><br>
homogeneous quotient spaces. For this we make use of harmonic<br/><br>
morphisms and basic representation theory of Lie groups.<br/><br>
We then employ our method to construct many examples of compact<br/><br>
minimal submanifolds of the special unitary groups.}},
author = {{Gudmundsson, Sigmundur and Svensson, Martin and Ville, Martina}},
issn = {{0025-5874}},
keywords = {{harmonic morphisms; minimal submanifolds; Lie groups}},
language = {{eng}},
pages = {{993--1005}},
publisher = {{Springer}},
series = {{Mathematische Zeitschrift}},
title = {{Complete minimal submanifolds of compact Lie groups}},
url = {{http://dx.doi.org/10.1007/s00209-015-1574-9}},
doi = {{10.1007/s00209-015-1574-9}},
volume = {{282}},
year = {{2016}},
}