On holomorphic harmonic morphisms
(2002) In Manuscripta Mathematica 107(1). p.1-13- Abstract
- We study holomorphic harmonic morphisms from Kahler manifolds to almost Hermitian manifolds. When the codomain is also Kahler we get restrictions on such maps in the case of constant holomorphic curvature. We also prove a Bochner-type formula for holomorphic harmonic morphisms which, under certain curvature conditions of the domain, gives insight to the structure of the vertical distribution. We thus prove that when the domain is compact and non-negatively curved, the vertical distribution is totally geodesic.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/341809
- author
- Svensson, Martin LU
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Manuscripta Mathematica
- volume
- 107
- issue
- 1
- pages
- 1 - 13
- publisher
- Springer
- external identifiers
-
- wos:000174621600001
- scopus:0036002816
- ISSN
- 1432-1785
- DOI
- 10.1007/s002290100210
- language
- English
- LU publication?
- yes
- id
- 1a6ed9a0-05b5-4c18-9e91-b553e718f1e4 (old id 341809)
- date added to LUP
- 2016-04-01 12:36:29
- date last changed
- 2022-01-27 07:22:57
@article{1a6ed9a0-05b5-4c18-9e91-b553e718f1e4, abstract = {{We study holomorphic harmonic morphisms from Kahler manifolds to almost Hermitian manifolds. When the codomain is also Kahler we get restrictions on such maps in the case of constant holomorphic curvature. We also prove a Bochner-type formula for holomorphic harmonic morphisms which, under certain curvature conditions of the domain, gives insight to the structure of the vertical distribution. We thus prove that when the domain is compact and non-negatively curved, the vertical distribution is totally geodesic.}}, author = {{Svensson, Martin}}, issn = {{1432-1785}}, language = {{eng}}, number = {{1}}, pages = {{1--13}}, publisher = {{Springer}}, series = {{Manuscripta Mathematica}}, title = {{On holomorphic harmonic morphisms}}, url = {{http://dx.doi.org/10.1007/s002290100210}}, doi = {{10.1007/s002290100210}}, volume = {{107}}, year = {{2002}}, }