On the Hilbert Geometry of Convex Polytopes
Metric Geometry
2014-12-02 v1
Abstract
We survey the Hilbert geometry of convex polytopes. In particular we present two important characterisations of these geometries, the first one in terms of the volume growth of their metric balls, the second one as a bi-lipschitz class of the simplexe's geometry.
Keywords
Cite
@article{arxiv.1406.0733,
title = {On the Hilbert Geometry of Convex Polytopes},
author = {Constantin Vernicos},
journal= {arXiv preprint arXiv:1406.0733},
year = {2014}
}
Comments
To appear in the Handbook on Hilbert geometry edited by G. Besson, A. Papadopoulos and M. Troyanov