2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228075We construct examples of hyperbolic rational homology spheres and hyperbolic knot complements in rational homology spheres containing closed embedded totally geodesic surfaces.This is the version published by Algebraic & Geometric Topology on 25 September 2006Geometric Topology57M50, 57M12, 57M27text