%0 Journal Article
%A González López, Artemio
%A Kamran, Niky
%T The Multidimensional Darboux transformation
%D 1998
%@ 0393-0440
%U https://hdl.handle.net/20.500.14352/59724
%X A generalization of the classical one-dimensional Darboux transformation to arbitrary n- dimensional oriented Riemannian manifolds is constructed using an intrinsic formulation based on the properties of twisted Hodge Laplacians. The classical two-dimensional Moutard  transformation is also generalized to non-compact oriented Riemannian manifolds of  dimension n ≥ 2. New examples of quasi-exactly solvable multidimensional matrix  Schrödinger  operators on curved manifolds are obtained by applying the above results.
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