Entropy for hyperbolic Riemann surface laminations II
Dynamical Systems
2011-09-22 v1 Complex Variables
Abstract
Consider a Brody hyperbolic foliation by Riemann surfaces with linearizable isolated singularities on a compact complex surface. We show that its hyperbolic entropy is finite. We also estimate the modulus of continuity of the Poincare metric on leaves. The estimate holds for foliations on manifolds of higher dimension.
Cite
@article{arxiv.1109.4489,
title = {Entropy for hyperbolic Riemann surface laminations II},
author = {Tien-Cuong Dinh and Viet-Anh Nguyen and Nessim Sibony},
journal= {arXiv preprint arXiv:1109.4489},
year = {2011}
}
Comments
34 pages