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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
01 April 2022
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| In: |
Journal of fixed point theory and applications
Year: 2022, Volume: 24, Issue: 2, Pages: 1-26 |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00954-9 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s11784-022-00954-9
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| Author Notes: | Myeonggi Kwon, Kevin Wiegand and Kai Zehmisch |
| Summary: | 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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| Item Description: | Gesehen am 29.06.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-022-00954-9 |