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A Metric Inequality for the Thompson and Hilbert Geometries  
 
  Authors: Roger D. Nussbaum, Cormac Walsh,  
  Keywords: Hilbert geometry, Thompson's part metric, Cone metric, Non-positive curvature, Finsler space.  
  Date Received: 25/09/03  
  Date Accepted: 02/04/04  
  Subject Codes:

53C60

  
  Editors: Jonathan Borwein,  
 
  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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