2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160135In this note we give a direct method to classify all stable forms on $\R^n$ as well as to determine their automorphism groups. We show that in dimension 6,7,8 stable forms coincide with non-degnerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.19 pagesDifferential Geometry53C15text