On the existence of disk-like global sections for Reeb flows on the tight 3-sphere
Symplectic Geometry
2019-12-19 v2 Dynamical Systems
Abstract
We consider Reeb dynamics on the 3-sphere associated to a tight contact form. Our main result gives necessary and sufficient conditions for a periodic Reeb orbit to bound a disk-like global section for the Reeb flow, when the contact form is assumed to be non-degenerate.
Cite
@article{arxiv.1006.0049,
title = {On the existence of disk-like global sections for Reeb flows on the tight 3-sphere},
author = {Umberto Hryniewicz and Pedro A. S. Salomão},
journal= {arXiv preprint arXiv:1006.0049},
year = {2019}
}
Comments
39 pages, 3 figures. To appear in the Duke Mathematical Journal