Bott-integrable contact forms with large systolic ratio
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908983289184256 |
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| author | Geiges, Hansjörg Hedicke, Jakob Sağlam, Murat |
| author_facet | Geiges, Hansjörg Hedicke, Jakob Sağlam, Murat |
| contents | We show that there is no universal upper bound for the systolic ratio of Bott-integrable contact forms on closed 3-manifolds, thus providing further evidence for the relative flexibility of integrable contact forms. For the proof, we study piecewise linear approximations of Lutz forms and establish integrability of a `plug' constructed by Abbondandolo, Bramham, Hryniewicz and Salomão for pushing up the systolic ratio. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19237 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bott-integrable contact forms with large systolic ratio Geiges, Hansjörg Hedicke, Jakob Sağlam, Murat Symplectic Geometry Dynamical Systems 37J35, 37J55, 53C23, 53D35 We show that there is no universal upper bound for the systolic ratio of Bott-integrable contact forms on closed 3-manifolds, thus providing further evidence for the relative flexibility of integrable contact forms. For the proof, we study piecewise linear approximations of Lutz forms and establish integrability of a `plug' constructed by Abbondandolo, Bramham, Hryniewicz and Salomão for pushing up the systolic ratio. |
| title | Bott-integrable contact forms with large systolic ratio |
| topic | Symplectic Geometry Dynamical Systems 37J35, 37J55, 53C23, 53D35 |
| url | https://arxiv.org/abs/2604.19237 |