Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893192 | Journal of Geometry and Physics | 2010 | 18 Pages |
Abstract
The C-quadrilateral lattice (CQL), also called the symmetric lattice, provides geometric interpretation of the discrete CKP equation within the quadrilateral lattice (QL) theory. We discuss affine-geometric properties of the lattice emphasizing the role of the Gallucci theorem in the multidimensional consistency of the CQL. Then we give the algebro-geometric construction of the lattice. We also present the reduction of the vectorial fundamental transformation of the QL to the CQL case. In the Appendix we show a relation between the QL and the so-called Darboux maps.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Adam Doliwa,