Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces
B. G. Konopelchenko, G. Landolfi
Abstract
Generalizations of the Weierstrass formulae to generic surface immersed into R4, S4 and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces in these spaces via the modified Veselov-Novikov equation are discussed.
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