Darboux curves on surfaces II
| Affiliation auteurs | Affiliation ok |
| Titre | Darboux curves on surfaces II |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Garcia R, Langevin R, Walczak P |
| Journal | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY |
| Volume | 47 |
| Pagination | 1119-1154 |
| Date Published | DEC |
| Type of Article | Article |
| ISSN | 1678-7544 |
| Mots-clés | canal surfaces, conformal geometry, Darboux curves, ridge points, Space of spheres |
| Résumé | 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 Mobius 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). |
| DOI | 10.1007/s00574-016-0207-1 |