Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations
Liu, Q. P. ; Manas, M.
arXiv, 9805005 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-05-11
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{9805005,
     author = {Liu, Q. P. and Manas, M.},
     title = {Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff
  Equations},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805005}
}

Liu, Q. P.; Manas, M. Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff
  Equations. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805005/