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

DOI10.1112/jlms.12381OpenAlexW3101320145MaRDI QIDQ4999770

Andrew M. Zimmer, Mitul Islam

Publication date: 2 July 2021

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03277

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Hyperbolic groups and nonpositively curved groups (20F67) Geometric structures on manifolds of high or arbitrary dimension (57N16) Projective differential geometry (53A20)

Related Items (4)

Convex cocompact actions of relatively hyperbolic groups ⋮ Dynamical properties of convex cocompact actions in projective space ⋮ A higher-rank rigidity theorem for convex real projective manifolds ⋮ Codimension-1 simplices in divisible convex domains

Cites Work

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• Convex projective generalized dehn filling
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• Dynamics of the action of a \(\text{CAT}(0)\) group on the boundary

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