Sequences of Levy Transformations and Multi-Wroński Determinant Solutions of the Darboux System
Q. P. Liu, Manuel Mañas
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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