Abstract

Consider a closed coisotropic submanifold $N$ of a symplectic manifold $(M,\omega)$ and a Hamiltonian diffeomorphism $\phi$ on $M$. The main result of this article is that $\phi$ has a leafwise fixed point w.r.t. $N$, provided that it is the time-1-map of a Hamiltonian flow whose restriction to $N$ stays $C^0$-close
... read more