The Circle Pattern Theorem extends to quasi-simplicial triangulations of closed surfaces, with curvature images characterized by KAT inequalities on all subsets of lifted vertices.
arXiv:1703.01768
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Circle Pattern Theorem for Quasi-simplicial Triangulated Surfaces
The Circle Pattern Theorem extends to quasi-simplicial triangulations of closed surfaces, with curvature images characterized by KAT inequalities on all subsets of lifted vertices.