Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves
Andersdotter Svensson, Emma and Gudmundsson, Sigmundur LU
(2023)
In Rendiconti del Circolo Matematico di Palermo
72.
p.2265-2286
- Abstract
- Let (G, g) be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant,
conformal foliation F with minimal leaves. Let J be an almost Hermitian structure on G
adapted to the foliation F . We classify such structures J which are almost Kähler (AK),
integrable (I) or Kähler (K). Hereby we construct several new multi-dimensional examples
in each class.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d26a077a-6603-4f34-b75e-2677b695c8a4
- author
- Andersdotter Svensson, Emma
and Gudmundsson, Sigmundur
LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- harmonic morphisms, foliations, almost complex structures
- in
- Rendiconti del Circolo Matematico di Palermo
- volume
- 72
- pages
- 22 pages
- publisher
- Springer
- external identifiers
-
- scopus:85135629824
- ISSN
- 0009-725X
- DOI
- 10.1007/s12215-022-00779-y
- language
- English
- LU publication?
- yes
- id
- d26a077a-6603-4f34-b75e-2677b695c8a4
- date added to LUP
- 2022-06-12 19:51:29
- date last changed
- 2023-08-09 14:36:45
@article{d26a077a-6603-4f34-b75e-2677b695c8a4,
abstract = {{Let (G, <i>g</i>) be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant,<br>
conformal foliation <i>F</i> with minimal leaves. Let<i> J </i>be an almost Hermitian structure on <i>G</i><br>
adapted to the foliation <i>F</i> . We classify such structures <i>J</i> which are almost Kähler (<i>AK</i>),<br>
integrable (<i>I</i>) or Kähler (<i>K</i>). Hereby we construct several new multi-dimensional examples<br>
in each class.}},
author = {{Andersdotter Svensson, Emma and Gudmundsson, Sigmundur}},
issn = {{0009-725X}},
keywords = {{harmonic morphisms, foliations, almost complex structures}},
language = {{eng}},
pages = {{2265--2286}},
publisher = {{Springer}},
series = {{Rendiconti del Circolo Matematico di Palermo}},
title = {{Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves}},
url = {{http://dx.doi.org/10.1007/s12215-022-00779-y}},
doi = {{10.1007/s12215-022-00779-y}},
volume = {{72}},
year = {{2023}},
}