On the rigidity of translated points
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912027088257024 |
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| author | Cant, Dylan Hedicke, Jakob |
| author_facet | Cant, Dylan Hedicke, Jakob |
| contents | We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukhin on the existence of translated points for contact isotopies of Liouville fillable contact manifolds with small enough Shelukhin-Hofer norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the rigidity of translated points Cant, Dylan Hedicke, Jakob Symplectic Geometry 53D10, 53D22 We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukhin on the existence of translated points for contact isotopies of Liouville fillable contact manifolds with small enough Shelukhin-Hofer norm. |
| title | On the rigidity of translated points |
| topic | Symplectic Geometry 53D10, 53D22 |
| url | https://arxiv.org/abs/2409.08962 |