2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59611Let H be a closed, noncompact subgroup of a simple Lie group G, such that G/H admits an invariant Lorentz metric. We show that if G = SO(2,n), with n > 2, then the identity component of H is conjugate to the identity component of SO(1,n). Also, if G = SO(1,n), with n > 2, then the identity component of H is conjugate to the identity component of SO(1,n-1).Latex2e file, 9 pages, no figuresDifferential GeometryRepresentation Theory53C50 (Primary) 53C30, 22E43, 17B20 (Secondary)text