Geometric characterization of Lyapunov exponents for Riemann surface laminations
Dynamical Systems
2017-10-10 v4 Complex Variables
Geometric Topology
Abstract
We characterize geometrically the Lyapunov exponents of a cocycle (of arbitrary rank) with respect to a harmonic current defined on a hyperbolic Riemann surface lamination. Our characterizations are formulated in terms of the expansion rates of the cocycle along geodesic rays.
Keywords
Cite
@article{arxiv.1503.05231,
title = {Geometric characterization of Lyapunov exponents for Riemann surface laminations},
author = {Viet-Anh Nguyen},
journal= {arXiv preprint arXiv:1503.05231},
year = {2017}
}
Comments
Dedicated to the memory of Gennadi M. Henkin. To appear in the Henkin volume of the Journal of Geometric Analysis. In this fourth version, the exposition has been thoroughly improved