2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59006The goal of this note is to exhibit the integrability properties (in the sense of the Frobenius theorem) of holomorphic p-forms with values in certain line bundles with seminegative curvature on a compact Kaehler manifold. There are in fact very strong restrictions, both on the holomorphic form and on the curvature of the seminegative line bundle. As a consequence, these observations provide interesting information on the structure of projective manifolds which admit a contact structure: either they are Fano manifolds or, thanks to results of Kebekus-Peternell-Sommese-Wisniewski, they are biholomorphic to the projectivization of the cotangent bundle of another suitable projective manifold.5 pages, Plain-TeX (reason for resubmission: 2 references added)Algebraic Geometry14B05, 14J45, 32C17, 32J25, 32S05text