LIPSCHITZ CHARACTERISATION OF POLYTOPAL HILBERT GEOMETRIES

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Description

Extends our previous result with B. Colbois and P. Verovic arXiv:0804.1620v1. Main Theorem independently and differently proved by Andreas Bernig

We prove that the Hilbert Geometry of a convex set is bi-lipschitz equivalent to a normed vector space if and only if the convex is a polytope.

Journal

  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 52 (1), 215-235, 2015-01

    Osaka University and Osaka City University, Departments of Mathematics

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