Abstract
A Weierstrass-type system of equations corresponding to CPN harmonic maps is presented. It constitutes a generalization of the previously constructed systems for CP1 and CP2 fields. From the linear spectral problem for the CPN model a set of conserved quantities is derived and used for a construction of a generalized Weierstrass representation for conformally parametrized surfaces immersed in multidimensional Euclidean spaces. Based on this representation a possible geometrical interpretation of CPN harmonic maps is discussed.
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