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math.DG2002
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.…
math.DG2002★ 2 cited
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,…