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Higher systolic inequalities for 3-dimensional contact manifolds (2107.12138v2)
Published 26 Jul 2021 in math.SG, math.DG, and math.DS
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.
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