Homotopy classes of total foliations and bi-contact structures on three-manifolds
classification
🧮 math.GT
keywords
foliationsbi-contactclasseveryhomotopystructurestotalclasses
read the original 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.
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