A note on Reeb dynamics on the tight 3-sphere
Symplectic Geometry
2007-07-10 v1 Dynamical Systems
Abstract
We show that a nondegenerate tight contact form on the 3-sphere has exactly two simple closed Reeb orbits if and only if the differential in linearized contact homology vanishes. Moreover, in this case the Floquet multipliers and Conley-Zehnder indices of the two Reeb orbits agree with those of a suitable irrational ellipsoid in 4-space.
Cite
@article{arxiv.0707.1068,
title = {A note on Reeb dynamics on the tight 3-sphere},
author = {F. Bourgeois and K. Cieliebak and T. Ekholm},
journal= {arXiv preprint arXiv:0707.1068},
year = {2007}
}
Comments
20 pages, no figures