Circle patterns with obtuse exterior intersection angles

Ze Zhou

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arXiv · 1703.01768

Circle patterns with obtuse exterior intersection angles

Ze Zhou

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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.

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Ze Zhou. 2017-03-06. Circle patterns with obtuse exterior intersection angles. https://arxiv.org/abs/1703.01768

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