Isometries of two dimensional Hilbert Geometries
Metric Geometry
2014-09-22 v1
Abstract
We prove that any isometry between two dimensional Hilbert geometries is a projective transformation unless the domains are interiors of triangles.
Cite
@article{arxiv.1409.5611,
title = {Isometries of two dimensional Hilbert Geometries},
author = {Vladimir S. Matveev and Marc Troyanov},
journal= {arXiv preprint arXiv:1409.5611},
year = {2014}
}
Comments
7 pages