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Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces

B. G. Konopelchenko·G. Landolfi
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Abstract

Generalizations of the Weierstrass formulae to generic surface immersed into $R^4$, $S^4$ 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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B. G. Konopelchenko, G. Landolfi. 1999-07-12. Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces. https://doi.org/10.1016/s0393-0440(98)00046-1

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