The horofunction boundary and isometry group of the Hilbert geometry - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Year : 2014

The horofunction boundary and isometry group of the Hilbert geometry

Abstract

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.

Dates and versions

hal-00782827 , version 1 (30-01-2013)

Identifiers

Cite

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⟩
190 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More