2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120058We prove that a primitive harmonic map is equivariant if and only if it admits a holomorphic potential of degree one. We investigate when the equivariant harmonic map is periodic, and as an application discuss constant mean curvature cylinders with screw motion symmetries.Differential GeometryEquivariant harmonic cylinderstext