Baleanu, D.; Başkal, S. Geometrization of the Lax pair tensors. (English) Zbl 0967.83028 Mod. Phys. Lett. A 15, No. 24, 1503-1510 (2000). Summary: 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 space-times admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice. Cited in 6 Documents MSC: 83E05 Geometrodynamics and the holographic principle 37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry Keywords:Killing-Yano tensors; supersymmetry; Lax pair equations; Toda lattice PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{S. Başkal}, Mod. Phys. Lett. A 15, No. 24, 1503--1510 (2000; Zbl 0967.83028) Full Text: DOI arXiv References: [1] DOI: 10.1023/A:1018817209424 · Zbl 1047.83508 · doi:10.1023/A:1018817209424 [2] DOI: 10.1063/1.533137 · Zbl 1045.37500 · doi:10.1063/1.533137 [3] DOI: 10.1002/cpa.3160210503 · Zbl 0162.41103 · doi:10.1002/cpa.3160210503 [4] DOI: 10.1016/0550-3213(96)00206-4 · Zbl 0996.53520 · doi:10.1016/0550-3213(96)00206-4 [5] DOI: 10.1142/S0217732399002716 · doi:10.1142/S0217732399002716 [6] DOI: 10.2307/1969287 · Zbl 0038.34401 · doi:10.2307/1969287 [7] DOI: 10.2307/1969782 · Zbl 0046.40002 · doi:10.2307/1969782 [8] DOI: 10.1016/0550-3213(93)90472-2 · Zbl 1043.83545 · doi:10.1016/0550-3213(93)90472-2 [9] Visinescu M., Phys. Rev. 54 pp 1398– (1996) · doi:10.1103/PhysRevB.54.1398 [10] Carter B., Phys. Rev. 16 pp 3395– (1977) · doi:10.1103/PhysRevA.16.1525 [11] DOI: 10.1016/0370-2693(94)01358-J · doi:10.1016/0370-2693(94)01358-J [12] DOI: 10.1016/0370-2693(88)90952-5 · doi:10.1016/0370-2693(88)90952-5 [13] Hinterleitner F., Acta. Phys. Slovaca 47 pp 157– (1997) [14] DOI: 10.1103/RevModPhys.48.393 · Zbl 1371.83017 · doi:10.1103/RevModPhys.48.393 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.