Isometries of two dimensional Hilbert geometries
Vladimir S. Matveev
Universität Jena, GermanyMarc 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