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Holomorphic foliations, harmonic morphisms and the Walczak formula

Svensson, Martin LU (2003) In Journal of the London Mathematical Society 68(3). p.781-794
Abstract
A formula of Walczak is applied to two situations in differential geometry. Holomorphic distributions on Kahler manifolds are studied, and it is shown how the formula simplifies to a Bochner type formula, which is particularly useful in the study of integrable distributions. Then the Walczak formula is applied in the context of harmonic morphisms, where it provides a means of investigating the vertical Laplacian of the dilation. It is shown that, under some additional conditions on the map and the domain, the p-energy is infinite for p sufficiently large.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the London Mathematical Society
volume
68
issue
3
pages
781 - 794
publisher
Oxford University Press
external identifiers
  • wos:000187349500016
  • scopus:0347532700
ISSN
0024-6107
DOI
10.1112/S0024610703004630
language
English
LU publication?
yes
id
0863ec98-bdce-4593-aaab-ed14a70f3d8c (old id 292344)
date added to LUP
2016-04-01 12:33:33
date last changed
2022-01-27 06:44:06
@article{0863ec98-bdce-4593-aaab-ed14a70f3d8c,
  abstract     = {{A formula of Walczak is applied to two situations in differential geometry. Holomorphic distributions on Kahler manifolds are studied, and it is shown how the formula simplifies to a Bochner type formula, which is particularly useful in the study of integrable distributions. Then the Walczak formula is applied in the context of harmonic morphisms, where it provides a means of investigating the vertical Laplacian of the dilation. It is shown that, under some additional conditions on the map and the domain, the p-energy is infinite for p sufficiently large.}},
  author       = {{Svensson, Martin}},
  issn         = {{0024-6107}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{781--794}},
  publisher    = {{Oxford University Press}},
  series       = {{Journal of the London Mathematical Society}},
  title        = {{Holomorphic foliations, harmonic morphisms and the Walczak formula}},
  url          = {{http://dx.doi.org/10.1112/S0024610703004630}},
  doi          = {{10.1112/S0024610703004630}},
  volume       = {{68}},
  year         = {{2003}},
}