RT Journal Article
T1 Vectorial Ribaucour transformations for the Lame equations
A1 Liu, Q. P.
A1 Mañas Baena, Manuel Enrique
AB The vectorial extension of the Ribaucour transformation for the Lame equations bf orthogonal conjugate nets in multidimensions is given. We show that the composition of two vectorial Ribaucour transformations with appropriate transformation data is again a vectorial Ribaucour transformation, from which follows the permutability of the vectorial Ribaucour transformations. Finally, as an example we apply the vectorial Ribaucour transformation to the Cartesian background.
PB IOP Publishing LTD
SN 0305-4470
YR 1998
FD 1998-03-13
LK https://hdl.handle.net/20.500.14352/59696
UL https://hdl.handle.net/20.500.14352/59696
LA eng
NO ©IOP Publishing LTD.M. M. would like to thank several conversations with A. Doliwa and P. M. Santini. In particular, A. Doliwa’s historical remarks were quite useful.
DS Docta Complutense
RD 5 jul 2025