Diffeomorphism type via aperiodicity in Reeb dynamics
Symplectic Geometry
2022-08-30 v1 Dynamical Systems
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.
Cite
@article{arxiv.1910.03824,
title = {Diffeomorphism type via aperiodicity in Reeb dynamics},
author = {Myeonggi Kwon and Kevin Wiegand and Kai Zehmisch},
journal= {arXiv preprint arXiv:1910.03824},
year = {2022}
}