1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
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…
The Convergence of Prescribed Combinatorial Ricci Flows for Total Geodesic Curvatures in Spherical Background Geometry
Guangming Hu, Ziping Lei, Yu Sun +1
In this paper, we study the existence and rigidity of (degenerated) circle pattern metric with prescribed total geodesic curvatures in spherical background geometry. To find the (d…
Hyperbolic Circle Packings and Total Geodesic Curvatures on Surfaces with Boundary
Guangming Hu, Yi Qi, Yu Sun +1
This paper investigates a generalized hyperbolic circle packing (including circles, horocycles or hypercycles) with respect to the total geodesic curvatures on the surface with bou…
Circle packings and hyperbolic surfaces of finite type
Te Ba, Guangming Hu, Yu Sun
This paper constructs hyperbolic polyhedral metrics via circle packings. We introduce the curvature of circles as a parameter to include all three types of constant curvature curve…