Harmonic morphisms from four-dimensional Lie groups
Gudmundsson, Sigmundur LU
and Svensson, Martin
LU
(2014)
In Journal of Geometry and Physics
83.
p.1-11
- Abstract
- We consider 4-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4091710
- author
- Gudmundsson, Sigmundur
LU
and Svensson, Martin
LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- harmonic morphisms, minimal submanifolds, Lie groups
- in
- Journal of Geometry and Physics
- volume
- 83
- pages
- 1 - 11
- publisher
- Elsevier
- external identifiers
-
- wos:000338816400001
- scopus:84899843456
- ISSN
- 0393-0440
- DOI
- 10.1016/j.geomphys.2014.04.009
- language
- English
- LU publication?
- yes
- id
- 31e6a238-53e1-4dbf-b76e-72827e33a98d (old id 4091710)
- date added to LUP
- 2016-04-01 13:52:02
- date last changed
- 2022-03-14 02:21:36
@article{31e6a238-53e1-4dbf-b76e-72827e33a98d,
abstract = {{We consider 4-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.}},
author = {{Gudmundsson, Sigmundur and Svensson, Martin}},
issn = {{0393-0440}},
keywords = {{harmonic morphisms; minimal submanifolds; Lie groups}},
language = {{eng}},
pages = {{1--11}},
publisher = {{Elsevier}},
series = {{Journal of Geometry and Physics}},
title = {{Harmonic morphisms from four-dimensional Lie groups}},
url = {{http://dx.doi.org/10.1016/j.geomphys.2014.04.009}},
doi = {{10.1016/j.geomphys.2014.04.009}},
volume = {{83}},
year = {{2014}},
}