3 papers
math.CV2026
Uniformizing non-proper Gromov Hyperbolic Spaces
Shu-Jing Gao, Chang-Yu Guo, Miao He
In this paper, we extend a large part of the uniformization theory of Bonk-Heinonen-Koskela [Asterisque 2001] to length spaces that are not necessarily proper or geodesic. Among ot…
math.CV2025
Characterizations of quasihyperbolic John domains and uniform domains in metric spaces
Shu-Jing Gao, Chang-Yu Guo, Manzi Huang +1
In a recent work of Zhou and Ponnusamy [Ann. Sc. Norm. Super. Pisa Ci. Sci. 2025], the authors studied the following natural question: find sufficient and necessary conditions for…
math.MG2025
Shortest paths in planar domains with hyperbolic type metrics
Shuliang Gao, Anni Hakanen, Antti Rasila +1
We study planar domains equipped with a hyperbolic type metric and approximate geodesics that join two points and their lengths. We present an algorithm that enable…