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Pré-Publication, Document De Travail Année : 2021

Conformal Symplectic Structures, Foliations and Contact Structures

Melanie Bertelson
  • Fonction : Auteur
Gael Meigniez

Résumé

This paper presents two existence h-principles, the first for conformal symplectic structures on closed manifolds, and the second for leafwise conformal symplectic structures on foliated manifolds with non empty boundary. The latter h-principle allows to linearly deform certain codimension-1 foliations to contact structures. These results are essentially applications of the Borman-Eliashberg-Murphy h-principle for overtwisted contact structures and of the Eliashberg-Murphy symplectization of cobordisms, together with tools pertaining to foliated Morse theory, which are elaborated here.
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Dates et versions

hal-03341749 , version 1 (12-09-2021)

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Melanie Bertelson, Gael Meigniez. Conformal Symplectic Structures, Foliations and Contact Structures. 2021. ⟨hal-03341749⟩
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