Topological canal foliations

Abstract : Regular canal surfaces of R-3 or S-3 admit foliations by circles: the characteristic circles of the envelope. In order to build a foliation of S3 with leaves being canal surfaces, one has to relax the condition "canal" a little ("weak canal condition") in order to accept isolated umbilics. Here, we define a topological condition which generalizes this "weak canal" condition imposed on leaves, and classify the foliations of compact orientable 3-manifolds we can obtain this way.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02167374
Contributeur : Imb - Université de Bourgogne <>
Soumis le : jeudi 27 juin 2019 - 16:54:55
Dernière modification le : lundi 8 juillet 2019 - 15:56:42

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Gilbert Hector, Rémi Langevin, Paweł Walczak. Topological canal foliations. Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2019, 71 (1), pp.43-63. ⟨10.2969/jmsj/78117811⟩. ⟨hal-02167374⟩

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