Infinitesimal rigidity for bar-joint frameworks in non-Euclidean spaces
Derek Kitson (University of Lancaster)
Tuesday 14th May, 2013 16:00-17:00 Maths 203
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 l^p norms. This is joint work with Stephen Power.