2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165054Let B be a fiber bundle with compact fiber F over a compact Riemannian n-manifold M. There is a natural Riemannian metric on the total space B consistent with the metric on M. With respect to that metric, the volume of a rectifiable section s:M--> B is the mass of the image s(M) as a rectifiable n-current in B. Theorem: For any homology class of sections of B, there is a mass-minimizing Cartesian current T representing that homology class which is the graph of a C^1 section on an open dense subset of M.36 pages, no figures. Published version, with minor revisions from previous arxive versionDifferential GeometryAnalysis of PDEs49F20, 49F22, 49F10, 58A25, 53C42, 53C65text