Appears in collection : Anosov Dynamics / La dynamique des sytèmes d'Anosov

This course is devoted to the interplay of several topological and dynamical notions, namely contact forms and their Reeb flows, open book decompositions, and Anosov flows. We will spend some time explaining the basic definitions and several important examples. The rough plan is (1) Contact forms, Reeb flows, and open book decomposition (2) Birkhoff sections, Anosov flows, and Reeb-Anosov flows.