Geometrization of the Lax Pair Tensors
classification
🌀 gr-qc
math-phmath.MPnlin.SI
keywords
equationsformpairtensortensorsadmittinganalyzedcartan
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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.
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