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Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms

Nordström, Jonas LU (2014) In Annals of Global Analysis and Geometry 45(1). p.1-10
Abstract
We study left-invariant complex-valued harmonic morphisms from Riemannian

Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.
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
Annals of Global Analysis and Geometry
volume
45
issue
1
pages
1 - 10
publisher
Springer
external identifiers
  • wos:000331703900001
  • scopus:84878143934
ISSN
1572-9060
DOI
10.1007/s10455-013-9383-z
language
English
LU publication?
yes
id
569f1a52-1e26-4c08-92ed-e187ca99d5dc (old id 4015963)
date added to LUP
2016-04-01 11:08:47
date last changed
2022-01-26 05:50:17
@article{569f1a52-1e26-4c08-92ed-e187ca99d5dc,
  abstract     = {{We study left-invariant complex-valued harmonic morphisms from Riemannian<br/><br>
Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.}},
  author       = {{Nordström, Jonas}},
  issn         = {{1572-9060}},
  keywords     = {{Harmonic morphisms; Minimal submanifolds; Lie groups}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{1--10}},
  publisher    = {{Springer}},
  series       = {{Annals of Global Analysis and Geometry}},
  title        = {{Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms}},
  url          = {{http://dx.doi.org/10.1007/s10455-013-9383-z}},
  doi          = {{10.1007/s10455-013-9383-z}},
  volume       = {{45}},
  year         = {{2014}},
}