Unique Ergodicity of Harmonic Currents on Singular Foliations of P2
Dynamical Systems
2009-03-11 v2 Complex Variables
Abstract
Let F be a holomorphic foliation of P^2 by Riemann surfaces. Assume all the singular points of F are hyperbolic. If F has no algebraic leaf, then there is a unique positive harmonic current of mass one, directed by F. This implies strong ergodic properties for the foliation. We also study the harmonic flow associated to the current
Keywords
Cite
@article{arxiv.math/0606744,
title = {Unique Ergodicity of Harmonic Currents on Singular Foliations of P2},
author = {John Erik Fornaess and Nessim Sibony},
journal= {arXiv preprint arXiv:math/0606744},
year = {2009}
}
Comments
Improved exposition