Herron, David A. and Buckley, Stephen M.
(2017)
Quasi-Hyperbolic Geodesics are Hyperbolic Quasi-Geodesics.
Journal of the European Mathematical Society (959).
ISSN 1435-9855
Abstract
This is a tale describing the large scale geometry of Euclidean plane domains
with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane
domain, hyperbolic and quasihyperbolic quasi-geodesics are the same curves. We also
demonstrate the simultaneous Gromov hyperbolicity of such domains with their hyperbolic
or quasihyperbolic distances.
| Item Type: |
Article
|
| Additional Information: |
This is the pre-publication version of the article, which will appear in Buckley Stephen, Herron David: Quasihyperbolic geodesics are hyperbolic quasi-geodesics. J. Eur. Math. Soc. Electronically published on March 5, 2020. doi: 10.4171/JEMS/959 (to appear in print) |
| Keywords: |
Hyperbolic metric; quasihyperbolic metric; quasi-geodesics; Gromov hyperbolicity; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
13072 |
| Identification Number: |
https://doi.org/10.4171/JEMS/959 |
| Depositing User: |
Prof. Stephen Buckley
|
| Date Deposited: |
19 Jun 2020 15:00 |
| Journal or Publication Title: |
Journal of the European Mathematical Society |
| Publisher: |
Springer Verlag |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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