Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces

Details Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces

1998-04-30

arxiv.org/abs/math/9804144v3

Journal of Geometry and Physics, 29, (1999), 319-333

Mathematics

Differential Geometry

LaTeX, 20 pages, minor misprints corrected

Scientific paper

10.1016/S0393-0440(98)00046-1

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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