Conformal minimal foliations on semi-Riemannian Lie groups
Gudmundsson, Sigmundur LU
; Ghandour, Elsa
LU
and Ottosson, Victor
(2022)
In Journal of Geometry and Symmetry in Physics
63.
p.1-20
- Abstract
- We study left-invariant foliations F on semi-Riemannian Lie groups G generated by a subgroup K. We are interested in such foliations which are conformal and with minimal leaves of codimension two. We classify such foliations F when the subgroup K is one of the important groups SU(2), SL_2(R), SU(2)*SU(2), SU(2)*SL_2(R)$, SU(2)*SO(2), SL_2(R)*SO(2). This way we construct new multi-dimensional families of Lie groups G carrying such foliations in each case. These foliations F produce local complex-valued harmonic morphisms on the corresponding Lie group G.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/43e995f2-3cf4-45cd-89ee-51107df44a0d
- author
- Gudmundsson, Sigmundur
LU
; Ghandour, Elsa
LU
and Ottosson, Victor
- organization
- publishing date
- 2022
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Lie groups, conformal foliations, minimal foliations, harmonic morphisms
- in
- Journal of Geometry and Symmetry in Physics
- volume
- 63
- pages
- 1 - 20
- publisher
- Institute of Biophysics and Biomedical Engineering at the Bulgarian Academy of Sciences
- external identifiers
-
- scopus:85129480628
- ISSN
- 1312-5192
- DOI
- 10.7546/jgsp-63-2022-1-20
- language
- English
- LU publication?
- yes
- id
- 43e995f2-3cf4-45cd-89ee-51107df44a0d
- alternative location
- https://projecteuclid.org/journals/journal-of-geometry-and-symmetry-in-physics/volume-63/issue-none/Conformal-Minimal-Foliations-on-Semi-Riemannian-Lie-Groups/10.7546/jgsp-63-2022-1-20.full
- date added to LUP
- 2022-04-15 18:54:28
- date last changed
- 2023-02-23 12:07:20
@article{43e995f2-3cf4-45cd-89ee-51107df44a0d,
abstract = {{We study left-invariant foliations F on semi-Riemannian Lie groups G generated by a subgroup K. We are interested in such foliations which are conformal and with minimal leaves of codimension two. We classify such foliations F when the subgroup K is one of the important groups SU(2), SL_2(R), SU(2)*SU(2), SU(2)*SL_2(R)$, SU(2)*SO(2), SL_2(R)*SO(2). This way we construct new multi-dimensional families of Lie groups G carrying such foliations in each case. These foliations F produce local complex-valued harmonic morphisms on the corresponding Lie group G.}},
author = {{Gudmundsson, Sigmundur and Ghandour, Elsa and Ottosson, Victor}},
issn = {{1312-5192}},
keywords = {{Lie groups; conformal foliations; minimal foliations; harmonic morphisms}},
language = {{eng}},
pages = {{1--20}},
publisher = {{Institute of Biophysics and Biomedical Engineering at the Bulgarian Academy of Sciences}},
series = {{Journal of Geometry and Symmetry in Physics}},
title = {{Conformal minimal foliations on semi-Riemannian Lie groups}},
url = {{http://dx.doi.org/10.7546/jgsp-63-2022-1-20}},
doi = {{10.7546/jgsp-63-2022-1-20}},
volume = {{63}},
year = {{2022}},
}