On contact Anosov flows

Abstract

Exponential decay of correlations for $\mathcal{C}^{4}$ contact Anosov flows is established. This implies, in particular, exponential decay of correlations for all smooth geodesic flows in strictly negative curvature.

Authors

Carlangelo Liverani

Department of Mathematics
University of Rome "Tor Vergata"
00133 Rome
Italy