2014/01/06 by Mickaël Kourganoff, Kourganoff, Mickaël
Mathematics · #14P05 #14P10 #53B30 #57R99 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.DG #math.GT #math.MG #msc:14P05 #msc:14P10 #msc:53B30 #msc:57R99
paper · pdf · doi:10.48550/arxiv.1401.1050
20 pages, merged with other similar results in "Universality theorems for linkages in homogeneous surfaces", arXiv:1407.6815
openalex publication_date 2014/01/06 · arxiv created 2015/02/17 · arxiv updated 2015/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A mechanical linkage is a mechanism made of rigid rods linked together by flexible joints, in which some vertices are fixed and others may move. The partial configuration space of a linkage is the set of all the possible positions of a subset of the vertices. We characterize the possible partial configuration spaces of linkages in the Minkowski plane. We also give a proof of a differential universality theorem in the Minkowski plane: for any manifold M which is the interior of a compact manifold with boundary, there is a linkage which has a configuration space diffeomorphic to the disjoint union of a finite number of copies of M.