Geometrization of the Lax Pair Tensors
arXiv:gr-qc/0104011 · doi:10.1142/S0217732300001924
Abstract
The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional spacetimes admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.
9 pages, LaTeX