Holomorphic foliations, harmonic morphisms and the Walczak formula
(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:
https://lup.lub.lu.se/record/292344
- author
- Svensson, Martin LU
- organization
- publishing date
- 2003
- 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}}, }