2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171107We study the conditions under which the tangent bundle $(TM,G)$ of an $n$-dimensional Riemannian manifold $(M,g)$ is conformally flat, where $G$ is a general natural lifted metric of $g$. We prove that the base manifold must have constant sectional curvature and we find some expressions for the natural lifted metric $G$, such that the tangent bundle $(TM,G)$ become conformally flat.12 pages, contribution to The Eight International Workshop on Differential Geomerty and Its Applications, August 19 25, 2007, "Babes Bolyai" University, Cluj Napoca, RomaniaDifferential Geometry53C55, 53C15, 53C05text