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arXiv · 1907.03277

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

Mitul Islam·Andrew Zimmer
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Abstract

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.

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Mitul Islam, Andrew Zimmer. 2020-11-02. A flat torus theorem for convex co-compact actions of projective linear groups. https://doi.org/10.1112/jlms.12381

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