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arXiv · 2507.20222

On Lagrangian barriers and applications of Non-Squeezing

Alejandro Vicente
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Abstract

In this note we show the existence of Lagrangian barriers in a certain class of domains in $\mathbb{R}^{2n}$, including dual Lagrangian products and some ``sufficiently" round domains. Many of these results come as applications of the Non-Squeezing Theorem. We also give a new interesting application of the Non-Squeezing Theorem and the Symplectic Camel Theorem.

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Alejandro Vicente. 2025-07-27. On Lagrangian barriers and applications of Non-Squeezing. https://arxiv.org/abs/2507.20222

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