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Mathematics
Metric Geometry
A Metric Inequality for the Thompson and Hilbert Geometries
Cormac Walsh
,
Roger D. Nussbaum
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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Submitted on 7 May 2004
Updated
arXiv.org
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