English

Hilbert geometry for convex polygonal domains

Metric Geometry 2011-11-08 v1

Abstract

We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lipschitz equivalent to Euclidean plane.

Keywords

Cite

@article{arxiv.0804.1620,
  title  = {Hilbert geometry for convex polygonal domains},
  author = {Bruno Colbois and Constantin Vernicos and Patrick Verovic},
  journal= {arXiv preprint arXiv:0804.1620},
  year   = {2011}
}
R2 v1 2026-06-21T10:29:29.161Z