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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
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.
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https://hal.inria.fr/hal-00782827
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

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

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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⟩

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