Generalised rigid body motions in non-Euclidean planes with applications to global rigidity

A bar-joint framework (G,p) in a (non-Euclidean) real normed plane X is the combination of finite, simple graph G and placement p vertices X. globally rigid if every other (G,q) with same edge lengths as arises from an isometry The weaker property local rigidity planes (where only within neighbourhood are considered) has been studied by several researchers over last 5 years after being introduced Kitson Power for ℓp-norms. However global unexplored area general spaces, despite intensely Euclidean context many groups 40 years. In order to understand X, we introduce new generalised body motions where norm determined analytic function. This theory allows us deduce geometric combinatorial results concerning frameworks