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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,…
math.SG2002★ 1 cited
Maximal Hamiltonian tori for polygon spaces
Jean-Claude Hausmann, Susan Tolman
We study the poset of Hamiltonian tori for polygon spaces. We determine some maximal elements and give examples where maximal Hamiltonian tori are not all of the same dimension.