Diffeomorphism type via aperiodicity in Reeb dynamics
We characterise boundary-shaped disc-like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short periodic Reeb orbits.
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
01 April 2022
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| In: |
Journal of fixed point theory and applications
Year: 2022, Jahrgang: 24, Heft: 2, Pages: 1-26 |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00954-9 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s11784-022-00954-9
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| Verfasserangaben: | Myeonggi Kwon, Kevin Wiegand and Kai Zehmisch |
| Zusammenfassung: | We characterise boundary-shaped disc-like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short periodic Reeb orbits. |
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| Beschreibung: | Gesehen am 29.06.2022 |
| Beschreibung: | Online Resource |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00954-9 |