A flat torus theorem for convex co-compact actions of projective linear groups

Mitul Islam, Andrew Zimmer

Published 2019-07-07Version 1

In this paper, we consider discrete groups in ${\rm PGL}_d(\mathbb{R})$ acting convex co-compactly on a properly convex domain in real projective space. For such groups, we establish an analogue of the well known flat torus theorem for ${\rm CAT}(0)$ spaces.