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math.CV2026
Existence, Rigidity, and Discrete Schwarz--Pick Lemma for Generalized Hyperbolic Circle Packings with Boundary and Discrete Gaussian Curvatures
Yu Sun, Lei Bao, Wenhao Fu +1
This paper is concerned with generalized hyperbolic circle packings on compact bordered surfaces, endowed with finite polygonal cellular decompositions. We investigate the problem…
math.GT2026
Perron's method and spherical ideal circle patterns with prescribed total geodesic curvatures
Lishan Li, Jun Hu, Yi Qi +1
In this paper, we apply the classical Perron method to give a proof of the existence and uniqueness/rigidity result of a circle pattern on a closed surface equipped with conical sp…