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Lagrangian non-squeezing and a geometric inequality

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.

preprint2013arXivOpen access
Kai Zehmisch
math.SGmath.DG
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Kai Zehmisch

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