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Liu, Q. P. and Mañas Baena, Manuel (1998) Sequences of Levy transformations and multi-wrónski determinant solutions of the Darboux system. Journal of geometry and physics, 273 (3-abr.). pp. 178-184. ISSN 0393-0440
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Official URL: http://dx.doi.org/10.1016/S0393-0440(97)00074-0
Abstract
Sequences of Levy transformations for the Darboux system of conjugates nets in multidimensions are studied. We show that after a suitable number of Levy transformations, with at least a Levy transformation in each direction, we get closed formulae in terms of multi-Wrónski determinants. These formulae are for the tangent vectors, Lamè coefficients, rotation coefficients and points of the surface.
Item Type: | Article |
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Additional Information: | ©Elsevier. |
Uncontrolled Keywords: | Levy transformations; Multi-Wrońki determinants; Darboux system |
Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
ID Code: | 32497 |
Deposited On: | 30 Jul 2015 08:55 |
Last Modified: | 10 Dec 2018 15:10 |
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