Pure Mathematics Seminar: Derek Kitson

Derek Kitson, Lancaster University

Wednesday 22 May 2013, 1600-1700
A54, Postgraduate Statistics Centre Lecture Theatre

Infinitesimal rigidity for bar-joint frameworks in non-Euclidean spaces

A bar-joint framework consists of a graph and a realisation of that graph in some normed linear space. We can regard a bar-joint framework as being infinitesimally flexible if it admits a non-trivial edge-length preserving infinitesimal motion. By a celebrated theorem of Laman, the minimally infinitesimally rigid bar-joint frameworks in the Euclidean plane are derived from (2,3)-tight graphs. In this talk we will prove a Laman type theorem for frameworks in the plane with respect to the non-Euclidean lp norms. This is joint work with Stephen Power.