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A Characterization of Hyperbolic Geometry among Hilbert Geometry

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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.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854, USA

    Ren Guo

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  1. Ren Guo
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Correspondence to Ren Guo.

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This work is partially supported by NSF Grant #0604352.

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Guo, R. A Characterization of Hyperbolic Geometry among Hilbert Geometry. J. geom. 89, 48–52 (2008). https://doi.org/10.1007/s00022-008-1989-0

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  • DOI: https://doi.org/10.1007/s00022-008-1989-0

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