4 papers
The dimension-free Gehring-Hayman inequality for quasigeodesics
Chang-Yu Guo, Manzi Huang, Xiantao Wang
A well-known theorem of J. Heinonen and S. Rohde in 1993 states that if is quasiconformally equivalently to an uniform domain, then the Gehring-Hayman inequ…
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…
Gromov hyperbolicity III: an improved geometric characterization and its applications
Chang-Yu Guo, Manzi Huang, Xiantao Wang
In the seminal work of Balogh-Buckley [Invent. Math. 2003], the authors asked the following fundamental open problem: for proper subdomains in the Euclidean space , d…
Dimension-free inner uniform estimates for quasigeodesics
Chang-Yu Guo, Manzi Huang, Yaxiang Li +1
In this paper, we establish a dimension-free inner uniform estimate for quasigeodesics. More precisely, we prove that a -quasigeodesic in a -Gromov hyperbolic -John doma…