Global surfaces of section with positive genus for dynamically convex Reeb flows
Symplectic Geometry
2021-01-28 v2 Dynamical Systems
Abstract
We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of a combination of pseudo-holomorphic curve methods with some elementary ergodic methods.
Cite
@article{arxiv.2012.12055,
title = {Global surfaces of section with positive genus for dynamically convex Reeb flows},
author = {Umberto L. Hryniewicz and Pedro A. S. Salomão and Richard Siefring},
journal= {arXiv preprint arXiv:2012.12055},
year = {2021}
}
Comments
17 pages, to appear in J. Fixed Point Theory Appl