2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72789We show that complete conformally flat manifolds of dimension n>2 with nonnegative Ricci curvature enjoy nice rigidity properties: they are either flat, or locally isometric to a product of a sphere and a line, or are globally conformally equivalent to flat space or to a spherical spaceform. This extends previous works by Q.-M. Cheng, M.H. Noronha, B.-L. Chen and X.-P. Zhu, and S. Zhu.revised version, added reference to previous paper by S. Zhu on the same subjectDifferential Geometry53C15, 53C24, 58J60text