English

A correspondence between a class of cone structures and contact forms

Differential Geometry 2015-12-14 v3

Abstract

In the spirit of Sullivan's paper "Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds", existence of a contact structure on a closed manifold MM is shown to be equivalent to existence of an ample S1S^1-invariant cone structure with no nontrivial exact structure cycles on the manifold S1×MS^1 \times M.

Keywords

Cite

@article{arxiv.1504.08149,
  title  = {A correspondence between a class of cone structures and contact forms},
  author = {Mélanie Bertelson and Cédric De Groote},
  journal= {arXiv preprint arXiv:1504.08149},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-22T09:25:39.924Z