2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153925A direct, bundle-theoretic method for defining and extending local isometries out of curvature data is developed. As a by-product, conceptual direct proofs of a classical result of Singer and a recent result of the authors are derived.4 pagesDifferential Geometry53C30; 53C21text