2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227378Equations of Simons type are presented. They are satisfied by a pair of special operators associated to the immersion $Σ^2\looparrowright M^2(c)\times\mathbb{R}$ with constant mean curvature. Some immersions are characterized.27 pages, 0 figuresDifferential Geometry53A40Simons' Type Equation in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$ and Applicationstext