A Metric Inequality for the Thompson and Hilbert Geometries

Details A Metric Inequality for the Thompson and Hilbert Geometries A Metric Inequality for the Thompson and Hilbert Geometries

2004-05-07

arxiv.org/abs/math/0405130v1

J. Inequal. Pure Appl. Math. 5 (2004), no. 3, Article 54, 14 pp. (electronic)

Mathematics

Metric Geometry

15 pages, 0 figures. To appear in J. Inequalities Pure Appl. Math

Scientific paper

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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