Pseudorotations of the 2-disc and Reeb flows on the 3-sphere
We use Lerman’s contact cut construction to find a sufficient condition for Hamiltonian diffeomorphisms of compact surfaces to embed into a closed -manifold as Poincaré return maps on a global surface of section for a Reeb flow. In particular, we show that the irrational pseudorotations of the - -...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2022
|
| In: |
Ergodic theory and dynamical systems
Year: 2022, Jahrgang: 42, Heft: 2, Pages: 402-436 |
| ISSN: | 1469-4417 |
| DOI: | 10.1017/etds.2021.15 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1017/etds.2021.15 Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/pseudorotations-of-the-2-disc-and-reeb-flows-on-the-3-sphere/C7EACC551DAEDD914F0A295D3EFB25DB 
|
| Verfasserangaben: | Peter Albers, Hansjörg Geiges, and Kai Zehmisch |
| Zusammenfassung: | We use Lerman’s contact cut construction to find a sufficient condition for Hamiltonian diffeomorphisms of compact surfaces to embed into a closed -manifold as Poincaré return maps on a global surface of section for a Reeb flow. In particular, we show that the irrational pseudorotations of the - -disc constructed by Fayad and Katok embed into the Reeb flow of a dynamically convex contact form on the - -sphere. |
|---|---|
| Beschreibung: | Published online by Cambridge University Press: 18 March 2021 Gesehen am 12.07.2022 |
| Beschreibung: | Online Resource |
| ISSN: | 1469-4417 |
| DOI: | 10.1017/etds.2021.15 |