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

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dc.creatorKonopelchenko, B. G.
dc.date1998-07-23
dc.date.accessioned2026-07-07T05:25:29Z
dc.date.available2026-07-07T05:25:29Z
dc.descriptionGeneralized 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.
dc.descriptionLatex, 18 pages
dc.identifierhttps://arxiv.org/abs/math/9807129
dc.identifierhttp://arxiv.org/abs/math/9807129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77199
dc.subjectDifferential Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.titleWeierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
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