Generalizing Andreev's Theorem via circle patterns
Geometric Topology
2023-09-18 v2
Abstract
In this paper we derive an extended Circle Pattern Theorem that allows obtuse overlap angles. As a consequence, we characterize a subclass of compact convex hyperbolic polyhedra with possibly obtuse dihedral angles and thus generalize Andreev's Theorem. For proofs of these results, we establish a discrete analog of the "weak solution/regularity theory" scheme.
Cite
@article{arxiv.2308.14386,
title = {Generalizing Andreev's Theorem via circle patterns},
author = {Ze Zhou},
journal= {arXiv preprint arXiv:2308.14386},
year = {2023}
}
Comments
27 pages, 4 figures