2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152070In this paper it is proved that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the two Dehn functions, of the group and the manifold, respectively, are equivalent.11 pages, 2 figures drawn with PiCTeXDifferential GeometryEquivalence of Geometric and Combinatorial Dehn Functionstext