Preprint A240/2003
A refinement of the Hofer-Zehnder theorem on the existence of closed trajectories near a hypersurface
Felix Schlenk | Macarini, Leonardo
The Hofer--Zehnder theorem states that almost every hypersurface in a thickening of a hypersurface $S$ in a symplectic manifold $(M,\omega)$ carries a closed characteristic provided that $S$ bounds a compact submanifold and $(M,\omega)$ has finite capacity. We show that it is enough to assume that the thickening of $S$ has finite capacity.