A characterization of hyperbolic geometry among Hilbert geometry

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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.
5 pages, 4 figures

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Metric Geometry, Primary 53A35; Secondary 51M09, 52A20

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http://salesiana.dossiersoluciones.com/handle/123456789/215330

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703184
 http://arxiv.org/abs/math/0703184
 J. Geom. 89 (2008), no. 1-2, 48--52.

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arXiv