Induced surfaces and their integrable dynamics. II. Generalized Weierstrass representations in 4D spaces and deformations via DS hierarchy

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dc.creatorKonopelchenko, B. G.
dc.creatorLandolfi, G.
dc.date1998-10-22
dc.date.accessioned2026-07-07T05:26:35Z
dc.date.available2026-07-07T05:26:35Z
dc.descriptionExtensions of the generalized Weierstrass representation to generic surfaces in 4D Euclidean and pseudo-Euclidean spaces are given. Geometric characteristics of surfaces are calculated. It is shown that integrable deformations of such induced surfaces are generated by the Davey -Stewartson hierarchy. Geometrically these deformations are characterized by the invariance of an infinite set of functionals over surface. The Willmore functional (the total squared mean curvature) is the simplest of them. Various particular classes of surfaces and their integrable deformations are considered.
dc.descriptionLaTeX, 50 pages
dc.identifierhttps://arxiv.org/abs/math/9810138
dc.identifierhttp://arxiv.org/abs/math/9810138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77599
dc.subjectDifferential Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.titleInduced surfaces and their integrable dynamics. II. Generalized Weierstrass representations in 4D spaces and deformations via DS hierarchy
dc.typetext

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