2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65250A vanishing theorem for a convex cocompact hyperbolic manifold is established, which relates the L2 cohomology to the Hausdorff dimension of the limit set. The borderline case is shown to characterize the manifold completely.to appear in Duke Math. J. (final version)Differential Geometrytext