The Nikolov–Andreev Metric and Gromov Hyperbolicity

Qianghua Luo, Antti Rasila, Ye Wang*, Qingshan Zhou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we prove that a proper subdomain Ω of Rn equipped with the metric iΩ, recently introduced by Nikolov and Andreev, is Gromov hyperbolic. We also show that there is a natural quasisymmetric correspondence between the Euclidean boundary of Ω (with respect to Rn¯) and the Gromov boundary of (Ω,iΩ).

Original languageEnglish
Article number105
JournalMediterranean Journal of Mathematics
Volume21
Issue number3
DOIs
StatePublished - May 2024

Keywords

  • 30L10
  • Gromov hyperbolicity
  • Primary 30C65
  • Secondary 30F45
  • The Nikolov–Andreev metric
  • quasisymmetric

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