The top Fe layer of an Fe / Cr multilayer structure has been structured lithographically into stripes with 1 pm period. This serves as a model system for the investigation of the magnetic domain formation in layers with externally induced anisotropy due to the antiferromagnetic interlayer coupling between the structured layer and the individual unstructured layers. Polarized neutron reflectometry and diffuse scattering under grazing incidence show strongly enhanced domain formation compared to the unstructured sample. The domains are vertically correlated throughout the multilayer. The lateral domain size is commensurable with the period of the stripe pattern of the surface layer.