Isometries of two dimensional Hilbert geometries

Vladimir S. Matveev
Universität Jena, Germany
- MathSciNet
- zbMATH Open
Marc Troyanov
Ecole Polytechnique Fédérale de Lausanne, Switzerland
- MathSciNet
- zbMATH Open

Abstract

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

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