Isometries of two dimensional Hilbert geometries

  • Vladimir S. Matveev

    Universität Jena, Germany
  • Marc Troyanov

    Ecole Polytechnique Fédérale de Lausanne, Switzerland

Abstract

We prove that every isometry between two dimensional Hilbert geometries is a projective transformation unless the domains are interiors of triangles.

Cite this article

Vladimir S. Matveev, Marc Troyanov, Isometries of two dimensional Hilbert geometries. Enseign. Math. 61 (2015), no. 3/4, pp. 453–460

DOI 10.4171/LEM/61-3/4-7