Some remarks on the Gehring–Hayman theorem

Författare

  • Sari Rogovin Maunula Secondary School and Helsinki School of Mathematics
  • Hyogo Shibahara University of Cincinnati, Department of Mathematical Sciences
  • Qingshan Zhou Foshan University, School of Mathematics and Big Data
DOI: https://doi.org/10.54330/afm.125920

Nyckelord:

Gromov hyperbolic space, uniform domain, uniform space, uniformization

Abstract

In this paper we provide new characterizations of the Gehring–Hayman theorem from the point of view of Gromov boundary and uniformity. We also determine the critical exponents for the uniformized space to be a uniform space in the case of the hyperbolic spaces, the model spaces \(\mathbb{M}^{\kappa}_n\) of the sectional curvature \(\kappa<0\) with the dimension \(n \geq 2\) and hyperbolic fillings.
Nummer
Vol 48 Nr 1 (2023)
Sektion
Articles

Publicerad

2023-01-10

Referera så här

Rogovin, S., Shibahara, H., & Zhou, Q. (2023). Some remarks on the Gehring–Hayman theorem. Annales Fennici Mathematici, 48(1), 141–152. https://doi.org/10.54330/afm.125920

Copyright (c) 2022 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.