Contractions of angles in symmetric cones

  • Authors:

  • Khalid Koufany

  • Affiliations:

  • Institut E. Cartan, Universié H. Poincaré, B.P. 239, F-54506 Vandoeuvre-lès-Nancy

  • Venue:
  • Publications of the Research Institute for Mathematical Sciences
  • Year:
  • 2002

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Abstract

For a symmetric cone Ω we compute its Riemannian distance in terms of the singular values of a generalized cross-ratio and prove that the semigroup of the compressions of Ω decreases the compounds distance.