Darboux curves on surfaces II
Overview & Synopsis
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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hal.science)
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Document Information
| Document Title | Darboux curves on surfaces II |
|---|---|
| Author / Organization | Ronaldo Garcia, Rémi Langevin, Paweł Walczak |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2016 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-20676 |
| Original Source Link | Visit Source Page on hal.science » |