Local rigidity of inversive distance circle packing

Guo, Ren

doi:10.1090/S0002-9947-2011-05239-6

Local rigidity of inversive distance circle packing
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Trans. Amer. Math. Soc. 363 (2011), 4757-4776 Request permission

Abstract:

A Euclidean (or hyperbolic) circle packing on a triangulated closed surface with prescribed inversive distance is locally determined by its cone angles. We prove this by establishing a variational principle.

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