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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77199Generalized 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 pagesDifferential GeometryExactly Solvable and Integrable SystemsWeierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchytext