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Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

Gudmundsson, Sigmundur LU orcid (2015) In Geometriae Dedicata 178(1). p.143-150
Abstract
We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation F of codimension 2. We prove that the two adapted almost Hermitian structures J_1 and J_2 are both cosymplectic if and only if F is Riemannian and its horizontal distribution H is integrable.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
harmonic morphisms, holomorphic, cosymplectic
in
Geometriae Dedicata
volume
178
issue
1
pages
143 - 150
publisher
Springer
external identifiers
  • wos:000361498100010
  • scopus:84942191362
ISSN
0046-5755
DOI
10.1007/s10711-015-0049-9
language
English
LU publication?
yes
id
36ce45d0-0ca6-49c6-a618-e5f759a217b5 (old id 4612643)
date added to LUP
2016-04-01 10:25:10
date last changed
2025-04-04 15:28:39
@article{36ce45d0-0ca6-49c6-a618-e5f759a217b5,
  abstract     = {{We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation F of codimension 2. We prove that the two adapted almost Hermitian structures J_1 and J_2 are both cosymplectic if and only if F is Riemannian and its horizontal distribution H is integrable.}},
  author       = {{Gudmundsson, Sigmundur}},
  issn         = {{0046-5755}},
  keywords     = {{harmonic morphisms; holomorphic; cosymplectic}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{143--150}},
  publisher    = {{Springer}},
  series       = {{Geometriae Dedicata}},
  title        = {{Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds}},
  url          = {{http://dx.doi.org/10.1007/s10711-015-0049-9}},
  doi          = {{10.1007/s10711-015-0049-9}},
  volume       = {{178}},
  year         = {{2015}},
}