2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71113A "hidden symmetry" of a Riemannian manifold M is an isometry of a d-sheeted, 1<d<\infty, Riemannian cover of M which is not the lift of any isometry. In this paper we characterize the locally symmetric metric(s) on a closed, arithmetic manifold as the unique metric with infinitely many hidden symmetries.13 pagesDifferential GeometryGeometric Topologytext