Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-25T00:27:41.457Z Has data issue: false hasContentIssue false
  • English
  • Français

HOLOMORPHIC FOLIATIONS, HARMONIC MORPHISMS AND THE WALCZAK FORMULA

Published online by Cambridge University Press:  17 November 2003

MARTIN SVENSSON
MARTIN SVENSSON
Affiliation:
Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Swedenmartin.svensson@math.lu.se
Get access

Abstract

A formula of Walczak is applied to two situations in differential geometry. Holomorphic distributions on Kähler 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.

Keywords

53C1258E20
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 781 - 794
Copyright
The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)