On the unification of classical and novel integrable surfaces: I. Differential geometry

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dc.creatorSchief, W. K.
dc.creatorKonopelchenko, B. G.
dc.date2001-04-17
dc.date.accessioned2026-07-07T05:33:26Z
dc.date.available2026-07-07T05:33:26Z
dc.descriptionA novel class of integrable surfaces is recorded. This class of O surfaces is shown to include and generalize classical surfaces such as isothermic, constant mean curvature, minimal, `linear' Weingarten, Guichard and Petot surfaces and surfaces of constant Gaussian curvature. It is demonstrated that the construction of a Backlund transformation for O surfaces leads in a natural manner to an associated parameter-dependent linear representation. The classical pseudosphere and breather pseudospherical surfaces are generated.
dc.description19 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0104036
dc.identifierhttp://arxiv.org/abs/nlin/0104036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79992
dc.subjectExactly Solvable and Integrable Systems
dc.subjectDifferential Geometry
dc.titleOn the unification of classical and novel integrable surfaces: I. Differential geometry
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