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arXiv · 1611.08835

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

Xu Xu
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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.

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Xu Xu. 2018-12-27. On the global rigidity of sphere packings on 3-dimensional manifolds. https://arxiv.org/abs/1611.08835

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