Darboux curves on surfaces II

Abstract : In 1872, Gaston Darboux defined a family of curves on surfaces in the 3-dimensional Euclidean space $E^3$ which are preserved by the action of the Möbius group and share many properties with geodesics. Here, we study the Darboux curves from a dynamical viewpoint on special canal surfaces, quadrics and some Darboux cyclides. We also describe the generic behavior of Darboux curves near ridge points (zig-zag and beak-to-beak).
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01446909
Contributeur : Imb - Université de Bourgogne <>
Soumis le : jeudi 26 janvier 2017 - 14:13:01
Dernière modification le : vendredi 8 juin 2018 - 14:50:07

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Ronaldo Garcia, Rémi Langevin, Paweł Walczak. Darboux curves on surfaces II. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, Springer Verlag, 2016, 47 (4), pp.1119-1154. ⟨10.1007/s00574-016-0207-1⟩. ⟨hal-01446909⟩

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