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Article dans une revue
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.
Keywords :
rational parametrizations
surfaces
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 : mercredi 8 juillet 2020 - 12:43:26
Contributeur : Imb - Université de Bourgogne <>
Soumis le : jeudi 27 juin 2019 - 16:54:55
Dernière modification le : mercredi 8 juillet 2020 - 12:43:26
