Commentarii Mathematici Helvetici
Full-Text PDF (488 KB) | Metadata | Table of Contents | CMH summary
Published online: 2012-04-17
Homotopy classes of total foliationsMasayuki Asaoka, Emmanuel Dufraine and Takeo Noda (1) Kyoto University, Japan
(3) Toho University, Chiba, Japan
On every compact and orientable three-manifold we construct total foliations (three codimension-one 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: Foliations, bi-contact structures
Asaoka Masayuki, Dufraine Emmanuel, Noda Takeo: Homotopy classes of total foliations. Comment. Math. Helv. 87 (2012), 271-302. doi: 10.4171/CMH/254