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arXiv · 1209.3704

Lagrangian non-squeezing and a geometric inequality

Kai Zehmisch
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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.

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Kai Zehmisch. 2013-10-30. Lagrangian non-squeezing and a geometric inequality. https://doi.org/10.1007/s00209-013-1254-6

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