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

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 formul...

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Detalles Bibliográficos
Autores: Liu, Q. P., Mañas Baena, Manuel Enrique
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59694
Acceso en línea:https://hdl.handle.net/20.500.14352/59694
Access Level:acceso abierto
Palabra clave:51-73
Levy transformations
Multi-Wrońki determinants
Darboux system
Física-Modelos matemáticos
Física matemática
Descripción
Sumario: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.