Lipschitz Characterisation of Polytopal Hilbert Geometries

Details Lipschitz Characterisation of Polytopal Hilbert Geometries Lipschitz Characterisation of Polytopal Hilbert Geometries

2008-12-04

arxiv.org/abs/0812.1032v1

Mathematics

Differential Geometry

Extends our previous result with B. Colbois and P. Verovic arXiv:0804.1620v1. Main Theorem independently and differently prove

Scientific paper

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.

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