Contrôle des bras articulés et transformations de Moebius (Control of robot arms and Moebius transformations)
| dc.creator | Hausmann, Jean-Claude | |
| dc.date | 2002-10-31 | |
| dc.date.accessioned | 2026-07-07T04:52:31Z | |
| dc.date.available | 2026-07-07T04:52:31Z | |
| dc.description | For a m-tuple a=(a_1,...,a_m) of positive real numbers, the robot arm of type a in R^d is the map f^a:(S^{d-1})^m -> R^d defined by f^a(z_1,...,z_m) to be the sum of the a_jz_j's. Our aim is to attack the inverse problem via the horizontal liftings for the distribution Delta^a orthogonal to the fibers of f^a. One shows that the connected components by horizontal curves are the orbits of an actiion on (S^{d-1})^m by a product of groups of Moebius transformations. In several cases, the holonomy orbits of the distribution Delta^a are also described. | |
| dc.description | 27 pages, in french | |
| dc.identifier | https://arxiv.org/abs/math/0210477 | |
| dc.identifier | http://arxiv.org/abs/math/0210477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65493 | |
| dc.subject | Differential Geometry | |
| dc.title | Contrôle des bras articulés et transformations de Moebius (Control of robot arms and Moebius transformations) | |
| dc.type | text |