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We show that many surfaces in $\R^{N^2-1}$ can be generated by harmonic mapsof $S^2\to CP^{N-1}$. These surfaces are based on the projectors in $CP^{N-1}$which describe maps of $S^2\to CP^{N-1}$. In the case when these maps form theVeronese sequence all the surfaces have constant curvature.Comment: 9 page

Surfaces in RN2−1 based on harmonic maps S2→CPN−1