Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane

Details Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane

2004-11-03

arxiv.org/abs/math/0411074v2

Bulletin de la SMF 134(3):357-381 (2006)

Mathematics

Differential Geometry

27 pages, 2 figures

Scientific paper

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

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