Lagrangian non-squeezing and a geometric inequality
arXiv:1209.3704 · doi:10.1007/s00209-013-1254-6
Abstract
We prove that if the unit codisc bundle of a closed Riemannian manifold embeds symplectically into a symplectic cylinder of radius one then the length of the shortest nontrivial closed geodesic is at most half the area of the unit disc.
minor changes, to appear in Math. Z