On the global rigidity of sphere packings on 3-dimensional manifolds
Geometric Topology
2018-12-31 v4 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1611.08835,
title = {On the global rigidity of sphere packings on 3-dimensional manifolds},
author = {Xu Xu},
journal= {arXiv preprint arXiv:1611.08835},
year = {2018}
}
Comments
to appear in Journal of Differential Geometry