A Laman theorem for non-Euclidean bar-joint frameworks.

A Laman theorem for non-Euclidean bar-joint frameworks.

Tue, 26/02
17:00 		Derek Kitson (Lancaster) Functional Analysis Seminar Add to calendar L3
A Laman theorem for non-Euclidean bar-joint frameworks.
Laman's theorem characterises the minimally infinitesimally rigid frameworks in Euclidean space $ \mathbb{R}^2 $ in terms of $ (2,3) $-tight graphs. An interesting problem is to determine whether analogous results hold for bar-joint frameworks in other normed linear spaces. In this talk we will show how this can be done for frameworks in the non-Euclidean spaces $ (\mathbb{R}^2,\|\cdot\|_q) $ with $ 1\leq q\leq \infty $, $ q\not=2 $. This is joint work with Stephen Power.