Horofunction Compactifications of Symmetric Spaces

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.

In the new version, the Convexity Lemma is proven for general norms and not only polyhedral ones. Additionally, smaller changes and corrections were done

References in corpus (2)

• Tameness of Riemannian locally symmetric spaces arising from Anosov representations
• Polyhedral Horofunction Compactification as a Polyhedral Ball

Cited by in corpus (2)

• Horofunction compactifications and duality
• Horofunction compactifications of symmetric cones under Finsler distances