4 papers
Boundary Value Problem and Discrete Schwarz-Pick Lemma for Generalized Hyperbolic Circle Packings
Guangming Hu, Ziping Lei, Yanlin Li +1
In 1991, Beardon and Stephenson [2] generalized the classical Schwarz-Pick lemma in hyperbolic geometry to the discrete Schwarz-Pick lemma for Andreev circle packings. This paper c…
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…
Combinatorial p-th Calabi Flows for Total Geodesic Curvatures in hyperbolic background geometry
Guangming Hu, Ziping Lei, Yi Qi +1
In hyperbolic background geometry, we investigate a generalized circle packing (including circles, horocycles and hypercycles) with conical singularities on a surface with boundary…
Combinatorial Calabi flows for ideal circle patterns in spherical background geometry
Ziping Lei, Puchun Zhou
Combinatorial Calabi flows are introduced by Ge in his Ph.D. thesis (Combinatorial methods and geometric equations, Peking University, Beijing, 2012), and have been studied extensi…