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

Abstract

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.

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