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A flat torus theorem for convex co-compact actions of projective linear groups (1907.03277v2)

Published 7 Jul 2019 in math.GT and math.DG

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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