The Weinstein Conjecture for Planar Contact Structures in Dimension Three
Symplectic Geometry
2016-09-07 v2
Abstract
In this paper we describe a general strategy for approaching the Weinstein conjecture in dimension three. We apply this approach to prove the Weinstein conjecture for a new class of contact manifolds (planar contact manifolds). We also discuss how the present approach reduces the general Weinstein conjecture in dimension three to a compactness problem for the solution set of a first order elliptic PDE.
Cite
@article{arxiv.math/0409355,
title = {The Weinstein Conjecture for Planar Contact Structures in Dimension Three},
author = {Casim Abbas and Kai Cieliebak and Helmut Hofer},
journal= {arXiv preprint arXiv:math/0409355},
year = {2016}
}
Comments
19 pages, corrected some typos