In this paper we prove necessary and sufficient conditions for the Kobayashi metric on a
convex domain to be Gromov hyperbolic. In particular we show that for convex domains with …

CONVEXES HYPERBOLIQUES ET FONCTIONS QUASISYMÉTRIQUES Page 1
CONVEXES HYPERBOLIQUES ET FONCTIONS QUASISYMÉTRIQUES par YVES …

In this paper we show that many projective Anosov representations act convex cocompactly
on some properly convex domain in real projective space. In particular, if a non-elementary …

If X is a geodesic metric space and x1, x2, x3∈ X, a geodesic triangleT={x1, x2, x3} is the
union of the three geodesics [x1x2],[x2x3] and [x3x1] in X. The space X is δ-hyperbolic (in …

Data sets of multivariate normal distributions abound in many scientific areas like diffusion
tensor medical imaging, structure tensor computer vision, radar signal processing, machine …

Abstract δ-Hyperbolic metric spaces have been defined by M. Gromov in 1987 via a simple 4-
point condition: for any four points u, v, w, x, the two larger of the distance sums d (u, v)+ d …

arXiv:1303.7099v2 [math.GT] 22 Apr 2014 Page 1 Around groups in Hilbert Geometry
Ludovic Marquis Institut de Recherche Mathématique de Rennes email: ludovic.marquis@univ-rennes1.fr …

In this note it is shown that the ${\tilde\jmath} _G $ metric is always Gromov hyperbolic, but
that the $ j_G $ metric is Gromov hyperbolic if and only if $ G $ has exactly one boundary …

We prove that when a countable group admits a nontrivial Floyd-type boundary, then every
nonelementary and metrically proper subgroup contains a noncommutative free subgroup …

For any m≥ 3, we construct properly convex open sets Ω in the real projective space P^ m
whose Hilbert metric is Gromov hyperbolic but is not quasiisometric to the hyperbolic space …