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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
24 May 2022
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| In: |
Journal of fixed point theory and applications
Year: 2022, Volume: 24, Issue: 2, Pages: 1-22 |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00950-z |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s11784-022-00950-z
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| Author Notes: | Umberto L. Hryniewicz, Pedro A.S. Salomão and Richard Siefring |
| Summary: | 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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| Item Description: | Gesehen am 13.07.2022 Dedicated to Prof. Claude Viterbo on the occasion of his 60th birthday |
| Physical Description: | Online Resource |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00950-z |