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Volume 5, Issue 3, Article 54 |
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A Metric Inequality for the Thompson and Hilbert Geometries
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Authors: |
Roger D. Nussbaum, Cormac Walsh, |
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Keywords:
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Hilbert geometry, Thompson's part metric, Cone metric, Non-positive curvature, Finsler space. |
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Date Received:
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25/09/03 |
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Date Accepted:
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02/04/04 |
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Subject Codes: |
53C60
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Editors: |
Jonathan Borwein, |
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Abstract: |
There are two natural metrics defined on an arbitrary convex cone: Thompson's part metric and Hilbert's projective metric. For both, we establish an inequality giving information about how far the metric is from being non-positively curved.
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