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On Lagrangian barriers and applications of Non-Squeezing
Published 27 Jul 2025 in math.SG | (2507.20222v1)
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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