On the Geometry of BÄCKLUND Transformations
Abstract
The geometry of an admissible Bäcklund transformation for an exterior differential system is described by an admissible Cartan connection for a geometric structure on a tower with infinite-dimensional skeleton which is the universal prolongation of a |1|-graded semi-simple Lie algebra.
- Publication:
-
Nonlinear Physics - Theory and Experiment II
- Pub Date:
- April 2003
- DOI:
- arXiv:
- arXiv:math/0311166
- Bibcode:
- 2003npte.conf..254P
- Keywords:
-
- generalized homogeneous spaces;
- Bäcklund transformations;
- connections;
- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry;
- 14M17;
- 53C05;
- 53C10;
- 53C30;
- 58J70;
- 58J72;
- 58A15. 58J70;
- 58A15
- E-Print:
- 4 pages, Proc. Int. Workshop on Nonlinear Physics (Gallipoli, 2002), v2:comment field changed