Hilbert geometry for convex polygonal domains
Abstract
We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lipschitz equivalent to Euclidean plane.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2008
- arXiv:
- arXiv:0804.1620
- Bibcode:
- 2008arXiv0804.1620C
- Keywords:
-
- Mathematics - Metric Geometry
- E-Print:
- Journal of Geometry, Volume 100, Numbers 1-2, pages 37-64, 2011