JournalslemVol. 61, No. 3/4pp. 453–460

Isometries of two dimensional Hilbert geometries

  • Vladimir S. Matveev

    Universität Jena, Germany

  • Marc Troyanov

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
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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