Horofunction Compactifications of Symmetric Spaces
Differential Geometry
2018-09-24 v2
Abstract
We consider horofunction compactifications of symmetric spaces with respect to invariant Finsler metrics. We show that any (generalized) Satake compactification can be realized as a horofunction compactification with respect to a polyhedral Finsler metric.
Cite
@article{arxiv.1705.05026,
title = {Horofunction Compactifications of Symmetric Spaces},
author = {Thomas Haettel and Anna-Sofie Schilling and Cormac Walsh and Anna Wienhard},
journal= {arXiv preprint arXiv:1705.05026},
year = {2018}
}
Comments
In the new version, the Convexity Lemma is proven for general norms and not only polyhedral ones. Additionally, smaller changes and corrections were done