Homotopy classes of total foliations | Zendy

Masayuki Asaoka | Zendy; Emmanuel Dufraine | Zendy; Takeo Noda | Zendy

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Homotopy classes of total foliations

Author(s) -

Masayuki Asaoka,

Emmanuel Dufraine,

Takeo Noda

Publication year - 2012

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/254

Subject(s) - mathematics , corollary , homotopy , codimension , pure mathematics , class (philosophy) , manifold (fluid mechanics) , point (geometry) , euler characteristic , mathematical analysis , geometry , mechanical engineering , artificial intelligence , computer science , engineering

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. Mathematics Subject Classification (2010). 57R30.

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