1998/05/11 by Q. P. Liu, Liu, Q. P., M. Manas +1
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9805005
15 pages LaTeX2e with AMSLaTeX and Babel packages
arxiv created 1998/05/11 · arxiv updated 2009/11/30
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.