Circle patterns with obtuse exterior intersection angles
Geometric Topology
2019-11-22 v3
Abstract
Thurston's Circle Pattern Theorem studies existence and rigidity of circle patterns of a given combinatorial type and the given non-obtuse exterior intersection angles. Using topological degree theory, variational principle, Teichmuller theory, and Sard's Theorem, this paper generalizes Circle Pattern Theorem to the case of obtuse exterior intersection angles.
Cite
@article{arxiv.1703.01768,
title = {Circle patterns with obtuse exterior intersection angles},
author = {Ze Zhou},
journal= {arXiv preprint arXiv:1703.01768},
year = {2019}
}
Comments
24 pages, 1 figure