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Negative irreducible curvature implies locally quasiconvex
Negative irreducible curvature implies locally quasiconvex. If $\rho_+(X)<0$ then $\pi_1(X)$ is a locally quasiconvex hyperbolic group.
Conjectureopencurvature-invariants hyperbolic-groups locally-quasiconvex-groupsarXiv posted 2 days ago

Negative irreducible curvature implies locally quasiconvex