Finding a cyclide given three contact conditions
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Finding a cyclide given three contact conditions |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Langevin R, Sifre J-C, Druoton L, Garnier L, Paluszny M |
| Journal | COMPUTATIONAL & APPLIED MATHEMATICS |
| Volume | 34 |
| Pagination | 275-292 |
| Date Published | APR |
| Type of Article | Article |
| ISSN | 2238-3603 |
| Mots-clés | Contact condition, Dupin cyclide, Homography, Lorentz space, Space of spheres |
| Résumé | Dupin cyclides form a 9-dimensional set of surfaces which are, from the viewpoint of differential geometry, the simplest after planes and spheres. We prove here that, given three oriented contact conditions, there is in general no Dupin cyclide satisfying them, but if the contact conditions belong to a codimension one subset, then there is a one-parameter family of solutions. |
| DOI | 10.1007/s40314-014-0116-0 |