Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds
(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:
https://lup.lub.lu.se/record/4612643
- author
- Gudmundsson, Sigmundur LU
- organization
- publishing date
- 2015
- 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
- 2020-11-22 06:50:12
@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}, 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}, }