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

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

1998-07-23

arxiv.org/abs/math/9807129v1

Mathematics

Differential Geometry

Latex, 18 pages

Scientific paper

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.

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