6 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…
The asymptoticity of pairs of Teichmüller rays
Guangming Hu, Zhiyang Lyu, Hideki Miyachi +1
In this paper, we study the limit of Teichmüller distance between two points along a pair of Teichmüller rays. We obtain an explicit formula for the limiting Teichmüller distance w…
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…
Universal commensurability augmented Teichmüller space and moduli space
Guangming Hu, Hideki Miyachi, Yi Qi
It is known that every finitely unbranched covering of a compact Riemann surface with genus induces an isometric embedding …
Linear differential equations with solutions in weighted Fock spaces
Guangming Hu, Juha-Matti Huusko
This research is concerned with the nonhomogeneous linear complex differential equation in the complex plane. In the high…