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Journal Articles Annales de l'Institut Henri Poincaré C, Analyse non linéaire Year : 2020

On the spectral characterization of Besse and Zoll Reeb flows

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Viktor L. Ginzburg
  • Function : Author
Basak Z. Gurel
  • Function : Author

Abstract

A closed contact manifold is called Besse when all its Reeb orbits are closed, and Zoll when they have the same minimal period. In this paper, we provide a characterization of Besse contact forms for convex contact spheres and Riemannian unit tangent bundles in terms of $S^1$-equivariant spectral invariants. Furthermore, for restricted contact type hypersurfaces of symplectic Euclidean spaces, we give a sufficient condition for the Besse property via the Ekeland-Hofer capacities.

Dates and versions

ensl-02352680 , version 1 (07-11-2019)

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Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli. On the spectral characterization of Besse and Zoll Reeb flows. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.08.004⟩. ⟨ensl-02352680⟩
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