On the global rigidity of sphere packings on 3-dimensional manifolds

Abstract

In this paper, we prove the global rigidity of sphere packings on 3-dimensional manifolds. This is a 3-dimensional analogue of the rigidity theorem of Andreev-Thurston and was conjectured by Cooper and Rivin. We also prove a global rigidity result using a combinatorial scalar curvature introduced by Ge and the author.

to appear in Journal of Differential Geometry

References in corpus (4)

• Rigidity of Polyhedral Surfaces
• Geometric triangulations and discrete Laplacians on manifolds
• On the deformation of inversive distance circle packings, II
• An extended correction to ``Combinatorial Scalar Curvature and Rigidity of Ball Packings,'' (by D. Cooper and I. Rivin)

Cited by in corpus (1)

• On the deformation of ball packings