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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:
author
organization
publishing date
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
id
4385f6d1-48a6-4009-9518-621664caeb40 (old id 3994135)
date added to LUP
2015-12-17 09:57:01
date last changed
2017-06-25 03:24:19
@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},
  keyword      = {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},
  volume       = {282},
  year         = {2016},
}