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On holomorphic harmonic morphisms

Svensson, Martin LU (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.
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author
organization
publishing date
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
2007-11-15 12:24:26
date last changed
2017-08-20 03:48:45
@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},
  volume       = {107},
  year         = {2002},
}