2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94749We obtain a topological interpretation for the space of $L^2$ harmonic forms for some complete Riemannian manifold : when the geometry at infinity is the geometry of a simply connected nilpotent Lie group, when the geometry at infinity is a symmetric space with non positive curvature and also when the geometry at infinity is parabolic.texte en francaisDifferential Geometry58J10,58A14text