H-principle for 4-dimensional contact foliations

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.

18 pages, 3 figures

References in corpus (1)

• Geometry of contact transformations and domains: orderability versus squeezing

Cited by in corpus (1)

• Existence and classification of overtwisted contact structures in all dimensions