2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230373We consider the tomography problem of recovering a covector field on a simple Riemannian manifold based on its weighted Doppler transformation over a family of curves $Γ$. This is a generalization of the attenuated Doppler transform. Uniqueness is proven for a generic set of weights and families of curves under a condition on the weight function. This condition is satisfied in particular if the weight function is never zero, and its derivatives along the curves in $Γ$ is never zero.Differential Geometry34A55; 53C65: 47G30text