A characterization of hyperbolic geometry among Hilbert geometry

Details A characterization of hyperbolic geometry among Hilbert geometry A characterization of hyperbolic geometry among Hilbert geometry

2007-03-07

arxiv.org/abs/math/0703184v1

J. Geom. 89 (2008), no. 1-2, 48--52.

Mathematics

Metric Geometry

5 pages, 4 figures

Scientific paper

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.

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