The geodesic flow of geometrically finite quotients of Hilbert geometries

DOI10.2140/pjm.2014.268.313zbMath1321.37026arXiv1204.5005OpenAlexW2147509934MaRDI QIDQ403418

Ludovic Marquis, Mickaël Crampon

Publication date: 29 August 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5005

zbMATH Keywords

critical exponentgeodesic flowHilbert geometryvolume entropygeometrically finiteuniformly hyperbolic

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Projective differential geometry (53A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Ergodicity and equidistribution in Hilbert geometry ⋮ Geometrical finiteness in Hilbert geometry ⋮ Entropy rigidity for finite volume strictly convex projective manifolds ⋮ Primitive stable representations in higher rank semisimple Lie groups ⋮ Ergodicity of Bowen-Margulis measure for the Benoist 3-manifolds ⋮ Geodesic flow of nonstrictly convex Hilbert geometries ⋮ Relatively dominated representations

This page was built for publication: The geodesic flow of geometrically finite quotients of Hilbert geometries