On the Growth of hyperbolic geodesics in rank 1 manifolds
Dynamical Systems
2013-06-04 v1 Metric Geometry
Abstract
We give a formula for the topological pressure of the geodesic flow of a compact rank 1 manifold in terms of the growth of the number of closed hyperbolic (rank 1) geodesics. We derive an equidistribution result for these geodesics with respect to equilibrium states. This generalize partially a result of G. Knieper \cite{kni} to non constant potentiels.
Keywords
Cite
@article{arxiv.1306.0384,
title = {On the Growth of hyperbolic geodesics in rank 1 manifolds},
author = {Abdelhamid Amroun},
journal= {arXiv preprint arXiv:1306.0384},
year = {2013}
}