1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.GT2007★ 1 cited
Homotopy classes of total foliations and bi-contact structures on three-manifolds
Masayuki Asaoka, Emmanuel Dufraine, Takeo Noda
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 performe…
math.DS2003
About homotopy classes of non-singular vector fields on the three-sphere
Emmanuel Dufraine
Generically, the set of points along which two non-singular vector fields on the three-sphere are positively (resp. negatively) collinear form a link. We prove that the two vector…
math.DS2003
Classification of a generic set of saddle connections in dimension 3
Emmanuel Dufraine
We consider an open and dense subset of the set of all connections (heteroclinic orbits) between two saddles of a vector field in dimension three. We give a complete classification…