Holonomy orbits of the snake charmer algorithm
| dc.creator | Hausmann, Jean-Claude | |
| dc.creator | Rodriguez, Eugenio | |
| dc.date | 2006-03-27 | |
| dc.date.accessioned | 2026-07-07T07:07:15Z | |
| dc.date.available | 2026-07-07T07:07:15Z | |
| dc.description | The snake charmer algorithm permits us to deform a piecewise smooth curve starting from the origin in R^d, so that its end follows a given path. When this path is a loop, a holonomy phenomenon occurs. We prove that the holonomy orbits are closed manifolds diffeomorphic to real Stiefel manifolds. A survey of the snake charmer algorithm is given in the paper. | |
| dc.description | 15 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0603620 | |
| dc.identifier | http://arxiv.org/abs/math/0603620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110322 | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 53C29; 58D15; 58D19; 58B99; 68T40 | |
| dc.title | Holonomy orbits of the snake charmer algorithm | |
| dc.type | text |