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Higher systolic inequalities for 3-dimensional contact manifolds

Abstract : We prove that Besse contact forms on closed connected 3-manifolds, that is, contact forms with a periodic Reeb flow, 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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Preprints, Working Papers, ...
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Contributor : Marco Mazzucchelli Connect in order to contact the contributor
Submitted on : Tuesday, September 28, 2021 - 10:46:41 PM
Last modification on : Wednesday, September 29, 2021 - 3:29:57 AM

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  • HAL Id : ensl-03357629, version 1
  • ARXIV : 2107.12138



Marco Mazzucchelli, Alberto Abbondandolo, Christian Lange. Higher systolic inequalities for 3-dimensional contact manifolds. 2021. ⟨ensl-03357629⟩



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