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Sequences of Levy Transformations and Multi-Wroński Determinant Solutions of the Darboux System

Q. P. Liu·Manuel Mañas
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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-Wroński determinants. These formulae are for the tangent vectors, Lamè coefficients, rotation coefficients and points of the surface.

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Q. P. Liu, Manuel Mañas. 1997-07-21. Sequences of Levy Transformations and Multi-Wroński Determinant Solutions of the Darboux System. https://doi.org/10.1016/s0393-0440(97)00074-0

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