Diffeomorphism type via aperiodicity in Reeb dynamics

Myeonggi Kwon (), Kevin Wiegand () and Kai Zehmisch ()
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Myeonggi Kwon: Sunchon National University, Department of Mathematics Education
Kevin Wiegand: Ruprecht-Karls-Universit¨at Heidelberg, Mathematisches Institut
Kai Zehmisch: Ruhr-Universität Bochum, Fakultät für Mathematik

A chapter in Symplectic Geometry, 2022, pp 801-826 from Springer

Abstract: Abstract 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19111-4_27

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DOI: 10.1007/978-3-031-19111-4_27

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