2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67397In this work, we prove the so-called "Shadow lemma" on geometrically finite manifolds of variable negative curvature. We deduce a result of non divergence of the horospheres of such manifolds.33 pages, 10 figures, in frenchDynamical Systems37D40; 37C85Lemme de l'Ombre et non divergence des horosphères d'une variété géométriquement finietext