Publication: Sequences of Levy transformations and multi-wrónski determinant solutions of the Darboux system
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1998-09
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Elsevier
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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-Wrónski determinants. These formulae are for the tangent vectors, Lamè coefficients, rotation coefficients and points of the surface.
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©Elsevier.
M.M. would like to thank A. Doliwa and P. M. Santini for useful conversations.
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