4 papers
Generalized Hyperbolic Conical Circle Packings associated with Finite Polygonal Decompositions of Surfaces with Boundary
Guangming Hu, Jun Hu, Lishan Li +1
Let S be a compact topological surface with finitely many genus and finitely many holes and let D be a polygonal decomposition of S. In this paper, we consider the generalized hype…
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…
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…
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…