Finitude g\'eom\'etrique en g\'eom\'etrie de Hilbert + an erratum/addendum
Geometric Topology
2024-10-21 v3 Group Theory
Metric Geometry
Abstract
The paper is divided in 2 parts. The first part is the original paper of the second and third authors arXiv:1202.5442v2. The second part is an erratum/addendum written in english and concatenated at the end of the former paper. In the erratum/addentum, we amend Theorems 1.3 and 1.11 of arXiv:1202.5442v2: Finitude g\'eom\'etrique en g\'eom\'etrie de Hilbert. We seize the opportunity to show that in round Hilbert geometry, geometrical finiteness (gf) is equivalent to cusp-uniform action and to fill some small gaps that appear in two other proofs of arXiv:1202.5442v2.
Keywords
Cite
@article{arxiv.1202.5442,
title = {Finitude g\'eom\'etrique en g\'eom\'etrie de Hilbert + an erratum/addendum},
author = {Pierre-Louis Blayac and Mickaël Crampon and Ludovic Marquis},
journal= {arXiv preprint arXiv:1202.5442},
year = {2024}
}
Comments
85 pages. Comments paper in two parts, already published and erratum/addendum