2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222849Let 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 expositionDynamical SystemsComplex Variables32S65; 57R30text