arXiv subjects

Teresa García

Publications and source records attributed to Teresa García.

2 recordsLinked to original sources

arXiv2019

Actions on products of CAT(-1) spaces

We show that for $X$ a proper $\mathrm{CAT}(-1)$ space there is a maximal open subset of the horofunction compactification of $X\times X$ with respect to the maximum metric that compactifies the diagonal action of an infinite quasi-convex group of the isometries of $X$. We also consider the product action of two quasi-convex representations of an infinite hyperbolic group on the product of two different proper $\mathrm{CAT}(-1)$ spaces.

math.GT↗

arXiv2016

Compactification of a diagonal action on the product of CAT(-1) spaces

Let $X$ be a proper, non-compact CAT(-1) space, and $Γ$ a discrete cocompact subgroup of the isometries of $X$. We compactify the diagonal action of $Γ$ on $X \times X$ considering a domain of the horofunction boundary with respect to the maximum metric.

math.MG↗