# 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