Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations
solv-int
2007-05-23 v1 Mathematical Physics
Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
The vectorial fundamental transformation for the Darboux equations is reduced to the symmetric case. This is combined with the orthogonal reduction of Lame type to obtain those vectorial Ribaucour transformations which preserve the Egoroff reduction. We also show that a permutability property holds for all these transformations. Finally, as an example, we apply these transformations to the Cartesian background.
Keywords
Cite
@article{arxiv.solv-int/9805005,
title = {Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations},
author = {Q. P. Liu and M. Manas},
journal= {arXiv preprint arXiv:solv-int/9805005},
year = {2007}
}
Comments
15 pages LaTeX2e with AMSLaTeX and Babel packages