2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147611Totally geodesically embeddings of infinitely many closed 7-manifolds into 13-dimensional positively curved closed Riemannian manifolds are constructed. The problems of computing pinching constants and existence of other totally geodesical embeddings are discussed.AMSTeX, 10 pages, with additions and correctionsDifferential GeometryA remark on positively curved manifolds of dimensions 7 and 13text