Systolic inequalities for S1-invariant contact forms in dimension three
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916516746756096 |
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| author | Vialaret, Simon |
| author_facet | Vialaret, Simon |
| contents | In contact geometry, a systolic inequality is a uniform upper bound on the shortest period of a closed Reeb orbit, in terms of the contact volume. We prove a general systolic inequality valid on Seifert bundles with non-zero Euler number for all contact forms that are invariant under the underlying circle action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systolic inequalities for S1-invariant contact forms in dimension three Vialaret, Simon Symplectic Geometry Differential Geometry Dynamical Systems In contact geometry, a systolic inequality is a uniform upper bound on the shortest period of a closed Reeb orbit, in terms of the contact volume. We prove a general systolic inequality valid on Seifert bundles with non-zero Euler number for all contact forms that are invariant under the underlying circle action. |
| title | Systolic inequalities for S1-invariant contact forms in dimension three |
| topic | Symplectic Geometry Differential Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2412.07476 |