2014/01/27 by Connelly, Robert, Gortler, Steven
#52C25 #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1401.7029
A bar framework determined by a finite graph G and configuration \bf p in d space is universally rigid if it is rigid in any \mathbb RD ⊃ \mathbb Rd. We provide a characterization of universally rigidity for any graph G and any configuration \bf p in terms of a sequence of affine subsets of the space of configurations. This corresponds to a facial reduction process for closed finite dimensional convex cones.