On the Geometry of B\"acklund Transformations
Analysis of PDEs
2022-01-05 v2 Differential Geometry
Abstract
The geometry of an admissible B\"acklund 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 --graded semi-simple Lie algebra.
Cite
@article{arxiv.math/0311166,
title = {On the Geometry of B\"acklund Transformations},
author = {M. Palese and E. Winterroth},
journal= {arXiv preprint arXiv:math/0311166},
year = {2022}
}
Comments
4 pages, Proc. Int. Workshop on Nonlinear Physics (Gallipoli, 2002), v2:comment field changed