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We study the conditions under which the tangent bundle $(TM,G)$ of an$n$-dimensional Riemannian manifold $(M,g)$ is conformally flat, where $G$ is ageneral natural lifted metric of $g$. We prove that the base manifold must haveconstant sectional curvature and we find some expressions for the naturallifted metric $G$, such that the tangent bundle $(TM,G)$ become conformallyflat.

Conformally flat tangent bundles with general natural lifted metrics