Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms
(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:
https://lup.lub.lu.se/record/4015963
- author
- Nordström, Jonas LU
- organization
- publishing date
- 2014
- 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}}, }