On the Growth of hyperbolic geodesics in rank 1 manifolds

Abdelhamid Amroun (1)

1 LMO - Laboratoire de Mathématiques d'Orsay

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 [12] to non constant potentiels.

Mots clés: Geodesic flows; Rank 1 manifolds.; Rank 1 manifolds

Domaines: Systèmes dynamiques [math.DS]

Abdelhamid Amroun. On the Growth of hyperbolic geodesics in rank 1 manifolds. 2013. ⟨hal-00827648⟩