Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy

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Generalized Weierstrass representations for generic surfaces conformally immersed into four-dimensional Euclidean and pseudo-Euclidean spaces of different signatures are presented. Integrable deformations of surfaces in these spaces generated by the Davey-Stewartson hierarchy of integrable equations are proposed. Willmore functional of a surface is invariant under such deformations.
Latex, 18 pages

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Differential Geometry, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/77199

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807129
 http://arxiv.org/abs/math/9807129

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arXiv