2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77459We study a sequence of connections which is associated with a Riemannian metric and an almost symplectic structure on a manifold. We prove that if this sequence is trivial (i.e. constant) or 2-periodic, then the manifold has a canonical Kähler structure.6 pages, AMSTeX, submitted to Contemporary MathematicsDifferential Geometry53B35; 53C55; 53B05; 53C07text