Conformal Symplectic structures, Foliations and Contact Structures
Symplectic Geometry
2021-09-09 v2 Geometric Topology
Abstract
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- 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.
Cite
@article{arxiv.2107.08839,
title = {Conformal Symplectic structures, Foliations and Contact Structures},
author = {Melanie Bertelson and Gael Meigniez},
journal= {arXiv preprint arXiv:2107.08839},
year = {2021}
}
Comments
This second version is exactly identical to the first one, except for the institution and the email address of the second author