34 citations · 76 across the 19 of their papers we have counts for
4 papers · 1 filter
Holonomy orbits of the snake charmer algorithm
Jean-Claude Hausmann, Eugenio Rodriguez
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 holonom…
Contrôle des bras articulés et transformations de Moebius (Control of robot arms and Moebius transformations)
Jean-Claude Hausmann
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.…
The space of clouds in an Euclidean space
Jean-Claude Hausmann, Eugenio Rodriguez
We study the space $\nua{m}{d}$ of clouds in $\bbr^d$ (ordered sets of points modulo the action of the group of affine isometries). We show that $\nua{m}{d}$ is a smooth space,…
Théorie de jauge et groupo\"ıdes (Gauge theory and groupoids)
Jean-Claude Hausmann
We consider the problem of existence of representations of topological groupoids on a principal bundle and the classification of such representations up to gauge transformation. Su…