34 citations · 226 across the 51 of their papers we have counts for
42 papers · 1 filter
Discrete uniformization of polyhedral surfaces
Feng Luo, Yanwen Luo, Zhenghao Rao +1
The main result of the paper shows that each connected polyhedral surface with a hyperbolic background metric, or a Euclidean background metric with uniformly bounded circumdisk ra…
A Rigidity Theorem for Convex Sets in Hyperbolic 3-Space
Feng Luo, Yanwen Luo, Zhenghao Rao
Pogorelov's rigidity theorem states that a compact convex body in the hyperbolic 3-space is determined up to isometry by the intrinsic path metric on its boundary. The main result…
Discrete Conformal Geometry of Polyhedral Surfaces and Its Convergence
Feng Luo, Jian Sun, Tianqi Wu
The paper proves a result on the convergence of discrete conformal maps to the Riemann mappings for Jordan domains. It is a counterpart of Rodin-Sullivan's theorem on convergence o…
Koebe conjecture and the Weyl problem for convex surfaces in hyperbolic 3-space
Feng Luo, Tianqi Wu
We prove that the Koebe circle domain conjecture is equivalent to the Weyl type problem that every complete hyperbolic surface of genus zero is isometric to the boundary of the hyp…
Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds
Alex Casella, Feng Luo, Stephan Tillmann
We generalise work of Young-Eun Choi to the setting of ideal triangulations with vertex links of arbitrary genus, showing that the set of all (possibly incomplete) hyperbolic cone-…
Volume and rigidity of hyperbolic polyhedral -manifolds
Feng Luo, Tian Yang
We investigate the rigidity of hyperbolic cone metrics on -manifolds which are isometric gluing of ideal and hyper-ideal tetrahedra in hyperbolic spaces. These metrics will be c…