Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces
classification
🧮 math.DG
nlin.SIsolv-int
keywords
spacesmultidimensionalriemannsurfacesweierstrassdeformationsdiscussedequation
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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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