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Hilbert geometry of polytopes

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Abstract.

It is shown that the Hilbert metric on the interior of a convex polytope is bilipschitz to a normed vector space of the same dimension.

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Authors and Affiliations

  1. Département de Mathématiques, Chemin du Musée 23, 1700, Fribourg, Switzerland

    Andreas Bernig

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  1. Andreas Bernig
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Correspondence to Andreas Bernig.

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Received: 12 December 2008

Supported by the Schweizerischer Nationalfonds grants SNF PP002-114715/1 and 200020-121506/1.

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Bernig, A. Hilbert geometry of polytopes. Arch. Math. 92, 314–324 (2009). https://doi.org/10.1007/s00013-009-3142-1

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  • DOI: https://doi.org/10.1007/s00013-009-3142-1

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