2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75730In this paper, we construct and classify minimal surfaces foliated by horizontal constant curvature curves in product manifolds $M \times \R$, where $M$ is the hyperbolic plane, the Euclidean plane or the two dimensional sphere. The main tool is the existence of a Jacobi field which characterize the property to be foliated in circles and geodesics in these product manifolds. It is related to harmonic maps.23 pages, 8 figuresDifferential GeometryClassical Analysis and ODEstext