Homotopy classes of total foliations and bi-contact structures on three-manifolds
Geometric Topology
2009-10-19 v2
Abstract
On every compact and orientable three-manifold, we construct total foliations (three codimension 1 foliations that are transverse at every point). This construction can be performed on any homotopy class of plane fields with vanishing Euler class. As a corollary we obtain similar results on bi-contact structures.
Keywords
Cite
@article{arxiv.0706.1879,
title = {Homotopy classes of total foliations and bi-contact structures on three-manifolds},
author = {Masayuki Asaoka and Emmanuel Dufraine and Takeo Noda},
journal= {arXiv preprint arXiv:0706.1879},
year = {2009}
}
Comments
27 pages, 13 figures. This is the final version. To appear in Comm. Math. Helv