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Mathematics > Symplectic Geometry
Title: Higher systolic inequalities for 3-dimensional contact manifolds
(Submitted on 26 Jul 2021 (v1), last revised 13 May 2022 (this version, v2))
Abstract: A contact form is called Besse when the associated Reeb flow is periodic. We prove that Besse contact forms on closed connected 3-manifolds are the local maximizers of suitable higher systolic ratios. Our result extends earlier ones for Zoll contact forms, that is, contact forms whose Reeb flow defines a free circle action.
Submission history
From: Marco Mazzucchelli [view email][v1] Mon, 26 Jul 2021 12:18:54 GMT (290kb,D)
[v2] Fri, 13 May 2022 15:18:46 GMT (290kb,D)
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