Lipschitz Characterisation of Polytopal Hilbert Geometries
Differential Geometry
2014-12-10 v1 Metric Geometry
Abstract
We prove that the Hilbert Geometry of a convex set is bi-lipschitz equivalent to a normed vector space if and only if the convex is a polytope.
Keywords
Cite
@article{arxiv.0812.1032,
title = {Lipschitz Characterisation of Polytopal Hilbert Geometries},
author = {Constantin Vernicos},
journal= {arXiv preprint arXiv:0812.1032},
year = {2014}
}
Comments
Extends our previous result with B. Colbois and P. Verovic arXiv:0804.1620v1. Main Theorem independently and differently proved by Andreas Bernig