Weierstrass representation for surfaces in multidimensional spacesMichel Grundland Centre de Recherches
Mathematiques Abstract We introduce a Weierstrass-type system of equations corresponding to CP^N harmonic maps, which generalize the systems previously constructed for CP^1 and CP^2. We use a set of conserved quantities for CP^N model in order to suggest a certain geometric interpretation of the generalized Weierstrass system describing surfaces immersed in multidimensional spaces. |