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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.20222 |
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| _version_ | 1866913962000384000 |
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| author | Vicente, Alejandro |
| author_facet | Vicente, Alejandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Lagrangian barriers and applications of Non-Squeezing Vicente, Alejandro Symplectic Geometry 53D05 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. |
| title | On Lagrangian barriers and applications of Non-Squeezing |
| topic | Symplectic Geometry 53D05 |
| url | https://arxiv.org/abs/2507.20222 |