Lagrangian non-squeezing and a geometric inequality
classification
🧮 math.SG
math.DG
keywords
closedunitareabundlecodisccylinderdiscembeds
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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.
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