English

Hilbert geometry of polytopes

Differential Geometry 2010-05-21 v2 Metric Geometry

Abstract

It is shown that the Hilbert metric on the interior of a convex polytope is bilipschitz to a normed vector space of the same dimension.

Keywords

Cite

@article{arxiv.0812.1080,
  title  = {Hilbert geometry of polytopes},
  author = {Andreas Bernig},
  journal= {arXiv preprint arXiv:0812.1080},
  year   = {2010}
}

Comments

11 pages, minor changes, to appear in Archiv Math

R2 v1 2026-06-21T11:48:37.776Z