On a systolic inequality for closed magnetic geodesics on surfaces
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvatu...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
21 Oct 2022
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| In: |
The journal of symplectic geometry
Year: 2022, Volume: 20, Issue: 1, Pages: 99-134 |
| ISSN: | 1540-2347 |
| DOI: | 10.4310/JSG.2022.v20.n1.a3 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4310/JSG.2022.v20.n1.a3 Verlag, lizenzpflichtig, Volltext: https://www.intlpress.com/site/pub/pages/journals/items/jsg/content/vols/0020/0001/a003/ 
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| Author Notes: | Gabriele Benedetti, Jungsoo Kang |
| Summary: | We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough. |
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| Item Description: | Gesehen am 22.12.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1540-2347 |
| DOI: | 10.4310/JSG.2022.v20.n1.a3 |