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

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.

9 pages, LaTeX2e using Babel and AMS-LaTex packages

Cited by in corpus (1)

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