2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59535We define the concept of Lefschetz contact pencil and we show the existence of such structures on any contact manifold. The main idea of the proof is a generalization of the Donaldson arguments used in the symplectic case. We will analyze some of the applications of such existence theorem for the topology of approximately holomorphic contact submanifolds.26 pages, 1 figureSymplectic GeometryDifferential Geometry53D35text