Skip to Main content Skip to Navigation
Book sections

The horofunction boundary and isometry group of the Hilbert geometry

Cormac Walsh 1, 2 
2 MAXPLUS - Max-plus algebras and mathematics of decision
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
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.
Document type :
Book sections
Complete list of metadata
Contributor : Canimogy Cogoulane Connect in order to contact the contributor
Submitted on : Wednesday, January 30, 2013 - 4:32:45 PM
Last modification on : Wednesday, February 2, 2022 - 3:55:56 PM

Links full text


  • HAL Id : hal-00782827, version 1
  • ARXIV : 1411.6175



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⟩



Record views