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19 April 2024

» arxiv » math.DG/9804144

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Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces
B.G. Konopelchenko ; G. Landolfi ;
Date:	30 Apr 1998
Journal:	Journal of Geometry and Physics, 29, (1999), 319-333
Subject:	Differential Geometry; Exactly Solvable and Integrable Systems MSC-class: 53A10 (Primary) 53A05 (Secondary) \| math.DG nlin.SI solv-int
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.
Source:	arXiv, math.DG/9804144
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