Entropy for hyperbolic Riemann surface laminations II

Details Entropy for hyperbolic Riemann surface laminations II Entropy for hyperbolic Riemann surface laminations II

2011-09-21

arxiv.org/abs/1109.4489v1

Mathematics

Dynamical Systems

34 pages

Scientific paper

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.

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