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arXiv · 2012.05389

On the structure of Besse convex contact spheres

Marco Mazzucchelli·Marco Radeschi
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Abstract

We consider convex contact spheres $Y$ all of whose Reeb orbits are closed. Any such $Y$ admits a stratification by the periods of closed Reeb orbits. We show that $Y$ "resembles" a contact ellipsoid: any stratum of $Y$ is an integral homology sphere, and the sequence of Ekeland-Hofer spectral invariants of $Y$ coincides with the full sequence of action values, each one repeated according to its multiplicity.

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Marco Mazzucchelli, Marco Radeschi. 2020-12-10. On the structure of Besse convex contact spheres. https://doi.org/10.1090/tran/8836

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