Bas du spectre et delta-hyperbolicit\'{e} en g\'{e}om\'{e}trie de Hilbert plane
Differential Geometry
2007-05-23 v2 Metric Geometry
Abstract
We prove that the Hilbert geometry of a convex domain in the plane is Gromov hyperbolic, if, and only if, the bottom of its spectrum is not zero
Keywords
Cite
@article{arxiv.math/0411074,
title = {Bas du spectre et delta-hyperbolicit\'{e} en g\'{e}om\'{e}trie de Hilbert plane},
author = {Bruno Colbois and Constantin Vernicos},
journal= {arXiv preprint arXiv:math/0411074},
year = {2007}
}
Comments
27 pages, 2 figures