HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal-ens-lyon.archives-ouvertes.fr/ensl-03357629
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

Links full text

Identifiers

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

Collections

Citation

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

Share

Metrics

Record views

10