Matthias Adrian-Himmelmann

Intrinsic Rigidity of Bar-and-Joint Frameworks on Riemannian Manifolds

We develop an intrinsic rigidity theory for bar-and-joint frameworks whose vertices are constrained to a Riemannian manifold and whose edges are given by minimizing geodesic arcs. Such frameworks are called rigid if they cannot be deformed beyond the ambient isometries, while preserving the geodesic edge lengths. For a...