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On the unification of classical and novel integrable surfaces: I. Differential geometry | W.K. Schief
; B.G. Konopelchenko
; | Date: |
17 Apr 2001 | Subject: | Exactly Solvable and Integrable Systems; Differential Geometry | nlin.SI math.DG | Abstract: | A 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. | Source: | arXiv, nlin.SI/0104036 | Services: | Forum | Review | PDF | Favorites |
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