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arxiv: math/0405130 · v1 · pith:US2RPEUBnew · submitted 2004-05-07 · 🧮 math.MG

A Metric Inequality for the Thompson and Hilbert Geometries

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keywords metrichilbertinequalitythompsonarbitraryconeconvexcurved
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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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