@article{oai:kanazawa-u.repo.nii.ac.jp:00010847, author = {Aiyama, Reiko and Akutagawa, Kazuo and Imagawa, Satoru and Kawakami, Yu}, issue = {5}, journal = {Annali di Matematica Pura ed Applicata}, month = {Oct}, note = {We perform a systematic study of the image of the Gauss map for complete minimal surfaces in Euclidean four-space. In particular, we give a geometric interpretation of the maximal number of exceptional values of the Gauss map of a complete orientable minimal surface in Euclidean four-space. We also provide optimal results for the maximal number of exceptional values of the Gauss map of a complete minimal Lagrangian surface in the complex two-space and the generalized Gauss map of a complete nonorientable minimal surface in Euclidean four-space. © 2017 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, Embargo Period 12 months}, pages = {1863--1875}, title = {Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space}, volume = {196}, year = {2017} }