Weak Minkowski spaces

  • Athanase Papadopoulos

    Université de Strasbourg, France
  • Marc Troyanov

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
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Abstract

We define the notion of weak Minkowski metric and prove some basic properties of such metrics. We also highlight some of the important analogies between Minkowski geometry and the Funk and Hilbert geometries.