Lagrangian non-squeezing and a geometric inequality
Symplectic Geometry
2014-05-16 v2 Differential Geometry
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.
Cite
@article{arxiv.1209.3704,
title = {Lagrangian non-squeezing and a geometric inequality},
author = {Kai Zehmisch},
journal= {arXiv preprint arXiv:1209.3704},
year = {2014}
}
Comments
minor changes, to appear in Math. Z