Ergodic properties of infinite extensions of area-preserving flows

Krzysztof Fraczek, Corinna Ulcigrai

We consider volume-preserving flows $({\Phi }_t^f{)}_{t\in \mathbb{R}}$ on $S\times \mathbb{R}$, where $S$ is a closed connected surface of genus $g\ge 2$ and $({\Phi }_t^f{)}_{t\in \mathbb{R}}$ ha…