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Sequences of Levy transformations and multi-wrónski determinant solutions of the Darboux system

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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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©Elsevier.
M.M. would like to thank A. Doliwa and P. M. Santini for useful conversations.

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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