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arxiv: math/0703184 · v1 · submitted 2007-03-07 · 🧮 math.MG

A characterization of hyperbolic geometry among Hilbert geometry

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keywords geometryhyperbolichilbertcharacterizationcharacterizemedianspasspoint
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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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