Orderability and the Weinstein Conjecture
Symplectic Geometry
2015-12-23 v3 Dynamical Systems
Abstract
In this article we prove that the Weinstein conjecture holds for contact manifolds for which is non-orderable in the sense of Eliashberg-Polterovich [EP00]. More precisely, we establish a link between orderable and hypertight contact manifolds. In addition, we prove for certain contact manifolds a conjecture by Sandon [San13b] on the existence of translated points in the non-degenerate case.
Cite
@article{arxiv.1310.0786,
title = {Orderability and the Weinstein Conjecture},
author = {Peter Albers and Urs Fuchs and Will J. Merry},
journal= {arXiv preprint arXiv:1310.0786},
year = {2015}
}
Comments
22 pages; v3: major revision