Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry
Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry
Several aspects of the infinitesimal rigidity of frameworks in Euclidean, hyperbolic, and spherical geometry are presented. First, we prove the equivalence of the static and kinematic formulations of infinitesimal rigidity. By means of the projective interpretation of statics (representing forces as bivectors), this allows us to prove the projective invariance …