A Metric Inequality for the Thompson and Hilbert Geometries
arXiv:math/0405130
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.
15 pages, 0 figures. To appear in J. Inequalities Pure Appl. Math