| Résume | A contact foliation $(M, \mathcal{F})$ is the orbit foliation of an $\mathbb{R}^q$ action on $M$ which is, in a sense, a high dimensional analogue of the Reeb flow on a contact manifold. Following the Weinstein conjecture for Reeb fields, a natural question emerges: does every contact foliation contain a closed leaf? In this talk, we will see that closed leaves always exist for certain classes of contact foliations, and that their number can be bounded from below using cohomological properties of the foliation itself. |
