Mathematics – Symplectic Geometry
Scientific paper
2012-02-14
Mathematics
Symplectic Geometry
46 pages
Scientific paper
We introduce a local version of contact homology for an isolated periodic orbit $\gamma$ of the Reeb flow and prove that its rank is uniformly bounded for isolated iterations. Several applications are obtained, including a generalization of Gromoll-Meyer's theorem on the existence of infinitely many simple periodic orbits, resonance relations and conditions for the existence of non-hyperbolic periodic orbits.
Hryniewicz Umberto
Macarini Leonardo
No associations
LandOfFree
Local contact homology and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Local contact homology and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local contact homology and applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-90298