The horofunction boundary and isometry group of the Hilbert geometry
Metric Geometry
2014-11-25 v1
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.
Keywords
Cite
@article{arxiv.1411.6175,
title = {The horofunction boundary and isometry group of the Hilbert geometry},
author = {Cormac Walsh},
journal= {arXiv preprint arXiv:1411.6175},
year = {2014}
}
Comments
17 pages, 5 figures