2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210609We provide a new approach to stable ergodicity of systems with dominated splittings, based on a geometrical analysis of global stable and unstable manifolds of hyperbolic points. Our method suggests that the lack of uniform size of Pesin's local stable and unstable manifolds - a notorious problem in the theory of non-uniform hyperbolicity - is often less severe than it appeas to be.22 pagesDynamical Systems37D30; 37D25text