On the structure of Besse convex contact spheres
Symplectic Geometry
2023-02-24 v2 Algebraic Topology
Differential Geometry
Abstract
We consider convex contact spheres all of whose Reeb orbits are closed. Any such admits a stratification by the periods of closed Reeb orbits. We show that "resembles" a contact ellipsoid: any stratum of is an integral homology sphere, and the sequence of Ekeland-Hofer spectral invariants of coincides with the full sequence of action values, each one repeated according to its multiplicity.
Keywords
Cite
@article{arxiv.2012.05389,
title = {On the structure of Besse convex contact spheres},
author = {Marco Mazzucchelli and Marco Radeschi},
journal= {arXiv preprint arXiv:2012.05389},
year = {2023}
}
Comments
29 pages; final version: we added a reference to Ustilovsky's construction of exotic Besse contact spheres. To appear in Trans. Amer. Math. Soc