2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161071We show that one-sided Alexandrov embedded constant mean curvature cylinders of finite type in the 3-sphere are surfaces of revolution. This confirms a conjecture by Pinkall and Sterling that the only embedded constant mean curvature tori in the 3-sphere are rotational.Expanded and revisedDifferential GeometryOn the moduli of constant mean curvature cylinders of finite type in the 3-spheretext