Contactifications: a Lagrangian description of compact Hamiltonian systems

Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1

If $\hat{I}\cdot$ is a contact form on a manifold $M$ such that the orbits of the Reeb vector field form a simple foliation $\mathcal{F}$ on $M$, then the presymplectic 2-form $d\hat{I}\cdot$ on $M$ i…