On non-positive curvature properties of the Hilbert metric (Q1725889)
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| Language | Label | Description | Also known as |
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| English | On non-positive curvature properties of the Hilbert metric |
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On non-positive curvature properties of the Hilbert metric (English)
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15 February 2019
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The authors of the paper consider different types of non-positive curvature properties of the Hilbert metric of a convex domain in \(\mathbb{R}^n\). Further they show some condition which implies the rigidity feature: If the Hilbert metric is Berwald then the domain is an ellipsoid and the metric is Riemannian.
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non-positive curvature
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geodesic space
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Berwald space
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Hilbert metric
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