A characterization of hyperbolic geometry among Hilbert geometry
Metric Geometry
2009-01-11 v1
Abstract
In this paper we characterize hyperbolic geometry among Hilbert geometry by the property that three medians of any hyperbolic triangle all pass through one point.
Keywords
Cite
@article{arxiv.math/0703184,
title = {A characterization of hyperbolic geometry among Hilbert geometry},
author = {Ren Guo},
journal= {arXiv preprint arXiv:math/0703184},
year = {2009}
}
Comments
5 pages, 4 figures