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- W2950440767 abstract "It is shown that the Hilbert geometry $(D,h_D)$ associated to a bounded convex domain $Dsubset mathbb{E}^n$ is isometric to a normed vector space $(V,||cdot ||)$ if and only if $D$ is an open $n$-simplex. One further result on the asymptotic geometry of Hilbert's metric is obtained with corollaries for the behavior of geodesics. Finally we prove that every geodesic ray in a Hilbert geometry converges to a point of the boundary." @default.
- W2950440767 created "2019-06-27" @default.
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- W2950440767 date "2004-07-12" @default.
- W2950440767 modified "2023-10-01" @default.
- W2950440767 title "Hilbert metrics and Minkowski norms" @default.
- W2950440767 hasPublicationYear "2004" @default.
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