Open Access
Spring 2008 Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry
B. Colbois, C. Vernicos, P. Verovic
Illinois J. Math. 52(1): 319-343 (Spring 2008). DOI: 10.1215/ijm/1242414133

Abstract

We show that a Hilbert geometry is hyperbolic in the sense of Gromov if and only if there is an upper bound on the area of ideal triangles.

Citation

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B. Colbois. C. Vernicos. P. Verovic. "Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry." Illinois J. Math. 52 (1) 319 - 343, Spring 2008. https://doi.org/10.1215/ijm/1242414133

Information

Published: Spring 2008
First available in Project Euclid: 15 May 2009

zbMATH: 1173.53035
MathSciNet: MR2507246
Digital Object Identifier: 10.1215/ijm/1242414133

Subjects:
Primary: 53C60
Secondary: 51F99 , 53C24

Rights: Copyright © 2008 University of Illinois at Urbana-Champaign

Vol.52 • No. 1 • Spring 2008
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