2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126787Let X be a complex manifold of dimension at least 2 which has an exhaustion function whose Levi form has at each point at least 2 positive eigenvalues. We prove that there are proper holomorphic discs in X through any given point13 pages, minor changes, to appear in Annales de l'Institut FourierComplex Variables32H35; 32C25On proper discs in complex manifoldstext