%0 Journal Article
%T Homotopy classes of total foliations and bi-contact structures on three-manifolds
%A Masayuki Asaoka
%A Emmanuel Dufraine
%A Takeo Noda
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0706.1879v2