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Journal Articles Transactions of the American Mathematical Society Year : 2023

On the structure of Besse convex contact spheres

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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.

Dates and versions

ensl-03053467 , version 1 (11-12-2020)

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Marco Mazzucchelli, Marco Radeschi. On the structure of Besse convex contact spheres. Transactions of the American Mathematical Society, In press, ⟨10.1090/tran/8836⟩. ⟨ensl-03053467⟩
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