Neargeodesics in Gromov hyperbolic John domains in Banach spaces

Authors

  • Vasudevarao Allu Indian Institute of Technology Bhubaneswar, School of Basic Sciences, Discipline of Mathematics
  • Abhishek Pandey Indian Institute of Technology Bhubaneswar, School of Basic Sciences, Discipline of Mathematics

DOI:

https://doi.org/10.54330/afm.146829

Keywords:

Quasihyperbolic metric, Gromov hyperbolic spaces, John domain, neargeodesics, quasiconformal mappings, quasihyperbolic geodesic, cone arc

Abstract

In this paper, we prove that neargeodesics in Gromov hyperbolic John domains in Banach space are cone arcs. This result gives an improvement of a result of Li (2014).

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Published

2024-07-02

Issue

Vol. 49 No. 2 (2024)

Section

Articles

License

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Allu, V., & Pandey, A. (2024). Neargeodesics in Gromov hyperbolic John domains in Banach spaces. Annales Fennici Mathematici, 49(2), 473–485. https://doi.org/10.54330/afm.146829