Spiderwebs on the Sphere and an Isoperimetric Theorem
Metric Geometry
2025-05-29 v1
Abstract
Here we present a rigidity result in a global (semi-global, homotopy) setting for a restrictive class of polytopes, those that can be inscribed in a unit sphere, with some additional conditions. The proof of the rigidity result for cabled frameworks on the surface of the sphere uses classical isoperimetric ideas.
Cite
@article{arxiv.2505.22336,
title = {Spiderwebs on the Sphere and an Isoperimetric Theorem},
author = {Robert Connelly and Zhen Zhang},
journal= {arXiv preprint arXiv:2505.22336},
year = {2025}
}