"Abstract Rigidity in $m$-Space"

Title: Abstract Rigidity in $m$-Space (download pdf) (abstract)

Authors:Jack Graver, Brigitte Servatius and Herman Servatius

Reference: Contemporary Math., \vol{178}, AMS, 145--151, 1994.

Planar rigidity can be delicate..
Image: dual2fig.gif

Abstract: Abstract rigidity matroids are generalizations of the infinitesimal rigidity matroids of frameworks in Euclidean space. In this paper we give a local characterization for abstract rigidity in any dimension. The conditions in this characterization are in many instances easier to verify than those in the definition of these matroids.