%0 Journal Article
%A Mañas Baena, Manuel Enrique
%T From integrable nets to integrable lattices
%D 2002
%@ 0022-2488
%U https://hdl.handle.net/20.500.14352/59683
%X Inspired by the results of Jonas, Einsenhart, Demoulin, and Bianchi on the permutability property of classical geometrical transformations of conjugate nets and its reductions-of pseudo-orthogonal, pseudo-symmetric, and pseudo-Egorov types-dressing transformations of the N-component KP hierarchy (described within the Grassmannian) are used to generate quadrilateral lattices and its corresponding reductions. As a byproduct we get the corresponding discrete dressing transformations; in particular, we characterize the vectorial fundamental discrete transformations preserving the symmetric lattice.
%~