The curvature of the ferromagnetic nanostructure is among its most important properties because of the great influence on its magnetic behavior, induced by strong shape magnetic anisotropy. In this work, we discuss the preparation and investigation of the magnetic properties of Pt/[Co/Pt]x9/Pt thin films on the surface of convex (nanodomes) and concave (nanopits) nanorelief, in the form of anodized aluminum oxide and aluminum matrices with an etched anodized oxide layer, respectively. For all samples, the presence of perpendicular magnetic anisotropy was observed, which was also observed in the reference samples on the smooth surface of SiO2. We show that an increase of the anodizing voltage leads to an increase in the interpore distance and curvature of the surface, which has a great influence on the coercive force and residual magnetization. In addition, we present the study of magnetic configuration of the obtained films, which showed the presence of the localization of magnetic domains on nanodomes and possible presence of skyrmions.