2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60954We construct isospectral pairs of Riemannian metrics on S^5 and on B^6, thus lowering by three the dimension of spheres and balls on which such metrics have been constructed previously (S^{n\ge 8} and B^{n\ge 9}). We also construct continuous families of isospectral Riemannian metrics on S^7 and on B^8. In each of these examples, the metrics can be chosen equal to the standard metric outside certain subsets of arbitrarily small volume.20 pages, AMS-TeX; to appear in: J. Diff. GeometryDifferential GeometrySpectral Theory58J53text