Annali di Matematica Pura ed Applicata, 2023 (SCI-Expanded)
In this paper, we study biconservative surfaces with parallel normalized mean curvature vector field (PNMC) in the 4-dimensional unit Euclidean sphere S4. First, we study the existence and uniqueness of such surfaces. We obtain that there exists a 2-parameter family of non-isometric abstract surfaces that admit a (unique) PNMC biconservative immersion in S4. Then, we obtain the local parametrization of these surfaces in the 5-dimensional Euclidean space E5. We end the paper by proving that the substantial codimension of PNMC biconservative surfaces in Sn, n≥ 5 , is equal to 2.