Maynooth University

Maynooth University ePrints and eTheses Archive

Maynooth University Library

Geometric characterizations of Gromov hyperbolicity

Balogh, Zoltán M. and Buckley, Stephen M. (2003) Geometric characterizations of Gromov hyperbolicity. Inventiones Mathematicae, 153 (2). pp. 261-301. ISSN 1432-1297

[img] Download (399kB)
Official URL:

Add this article to your Mendeley library


We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring-Hayman property and a separation condition.

Item Type: Article
Keywords: Gromov hyperbolicity; Euclidean domains; Slices; Gehring-Hayman property; Separation condition.
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1599
Identification Number: 10.1007/s00222-003-0287-6
Depositing User: Prof. Stephen Buckley
Date Deposited: 20 Oct 2009 10:59
Journal or Publication Title: Inventiones Mathematicae
Publisher: Springer Berlin / Heidelberg
Refereed: No

Repository Staff Only(login required)

View Item Item control page

Document Downloads

More statistics for this item...