The horofunction boundary and isometry group of the Hilbert geometry

Cormac Walsh (1, 2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 MAXPLUS - Max-plus algebras and mathematics of decision

The horofunction boundary is a means of compactifying metric spaces that was introduced by Gromov in the 1970s. We describe explicitly the horofunction boundary of the Hilbert geometry, and sketch how it may be used to study the isometry group of this space.

Domaines: Géométrie métrique [math.MG]

Cormac Walsh. The horofunction boundary and isometry group of the Hilbert geometry. Athanase Papadopoulos and Marc Troyanov. Handbook of Hilbert Geometry, 22, European Mathematical Society, 2014, IRMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7. ⟨hal-00782827⟩