ar X iv : g r - qc / 0 10 40 11 v 1 3 A pr 2 00 1 Geometrization of the Lax Pair Tensors
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چکیده
The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion ten-sor. 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.
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تاریخ انتشار 2001