Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations

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dc.creatorLiu, Q. P.
dc.creatorManas, M.
dc.date1998-05-11
dc.date.accessioned2026-07-07T06:17:35Z
dc.date.available2026-07-07T06:17:35Z
dc.descriptionThe 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.
dc.description15 pages LaTeX2e with AMSLaTeX and Babel packages
dc.identifierhttps://arxiv.org/abs/solv-int/9805005
dc.identifierhttp://arxiv.org/abs/solv-int/9805005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94435
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleReduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations
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