Unique Ergodicity of Harmonic Currents on Singular Foliations of P2

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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 $(1,1)$ current $T$ of mass one, directed by F. This implies strong ergodic properties for the foliation. We also study the harmonic flow associated to the current $T.$
Improved exposition

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Dynamical Systems, Complex Variables, 32S65; 57R30

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http://salesiana.dossiersoluciones.com/handle/123456789/222849

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606744
 http://arxiv.org/abs/math/0606744

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arXiv