On the knot types of periodic Reeb orbits of dynamically convex contact forms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918253864943616 |
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| author | Hryniewicz, Umberto L. Salomão, Pedro A. S. Siefring, Richard |
| author_facet | Hryniewicz, Umberto L. Salomão, Pedro A. S. Siefring, Richard |
| contents | We exhibit transverse knot types on the standard contact $3$-sphere that cannot be realized as periodic Reeb orbits of a dynamically convex contact form. In particular, such transverse knot types do not arise as closed characteristics of strictly convex energy levels on a four dimensional symplectic vector space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08190 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the knot types of periodic Reeb orbits of dynamically convex contact forms Hryniewicz, Umberto L. Salomão, Pedro A. S. Siefring, Richard Symplectic Geometry 37Jxx, 53D25 We exhibit transverse knot types on the standard contact $3$-sphere that cannot be realized as periodic Reeb orbits of a dynamically convex contact form. In particular, such transverse knot types do not arise as closed characteristics of strictly convex energy levels on a four dimensional symplectic vector space. |
| title | On the knot types of periodic Reeb orbits of dynamically convex contact forms |
| topic | Symplectic Geometry 37Jxx, 53D25 |
| url | https://arxiv.org/abs/2512.08190 |