English

H-principle for 4-dimensional contact foliations

Symplectic Geometry 2017-08-02 v1

Abstract

In this article we introduce the topological study of codimension-1 foliations which admit contact or symplectic structures on the leaves. A parametric existence h-principle for foliated contact structures is provided for any cooriented foliation in a closed oriented 4-fold.

Keywords

Cite

@article{arxiv.1406.7238,
  title  = {H-principle for 4-dimensional contact foliations},
  author = {Roger Casals and Alvaro del Pino and Francisco Presas},
  journal= {arXiv preprint arXiv:1406.7238},
  year   = {2017}
}

Comments

18 pages, 3 figures

R2 v1 2026-06-22T04:49:28.661Z