Global surfaces of section with positive genus for dynamically convex Reeb flows
We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of a combination of pseudoholomorphic methods with some elementary ergodic methods.
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
24 May 2022
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| In: |
Journal of fixed point theory and applications
Year: 2022, Jahrgang: 24, Heft: 2, Pages: 1-22 |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00950-z |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s11784-022-00950-z
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| Verfasserangaben: | Umberto L. Hryniewicz, Pedro A.S. Salomão and Richard Siefring |
| Zusammenfassung: | We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of a combination of pseudoholomorphic methods with some elementary ergodic methods. |
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| Beschreibung: | Gesehen am 13.07.2022 Dedicated to Prof. Claude Viterbo on the occasion of his 60th birthday |
| Beschreibung: | Online Resource |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00950-z |