Harmonic morphisms from five-dimensional Lie groups
Gudmundsson, Sigmundur LU
(2016)
In Geometriae Dedicata
184(1).
p.143-157
- Abstract
- We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/bc88856a-50ff-439d-bd8c-63326e337fa8
- author
- Gudmundsson, Sigmundur
LU
- organization
- publishing date
- 2016
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- harmonic morphisms, minimal submanifolds, Lie groups
- in
- Geometriae Dedicata
- volume
- 184
- issue
- 1
- pages
- 143 - 157
- publisher
- Springer
- external identifiers
-
- scopus:84962870226
- wos:000384414700008
- ISSN
- 0046-5755
- DOI
- 10.1007/s10711-016-0162-4
- language
- English
- LU publication?
- yes
- id
- bc88856a-50ff-439d-bd8c-63326e337fa8
- date added to LUP
- 2016-04-11 16:53:51
- date last changed
- 2025-04-04 14:18:06
@article{bc88856a-50ff-439d-bd8c-63326e337fa8,
abstract = {{We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.}},
author = {{Gudmundsson, Sigmundur}},
issn = {{0046-5755}},
keywords = {{harmonic morphisms, minimal submanifolds, Lie groups}},
language = {{eng}},
number = {{1}},
pages = {{143--157}},
publisher = {{Springer}},
series = {{Geometriae Dedicata}},
title = {{Harmonic morphisms from five-dimensional Lie groups}},
url = {{http://dx.doi.org/10.1007/s10711-016-0162-4}},
doi = {{10.1007/s10711-016-0162-4}},
volume = {{184}},
year = {{2016}},
}