2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221778In this note we prove that a constant mean curvature surface is proper-biharmonic in the unit Euclidean sphere $\mathbb{S}^4$ if and only if it is minimal in a hypersphere $\mathbb{S}^3(\frac{1}{\sqrt{2}})$.6 pagesDifferential Geometry58E20Biharmonic surfaces of $\mathbb{S}^4$text