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arxiv: 1401.8195 · v3 · pith:XXOWP7BInew · submitted 2014-01-31 · ✦ hep-th · math-ph· math.MP

Killing tensors and canonical geometry

M. Cariglia , G. W.Gibbons , J.-W. van Holten , P. A. Horvathy , P. Kosinski , P.-M. Zhang This is my paper
classification ✦ hep-th math-phmath.MP
keywords killingtensorsapproachcanonicalconstantscovariantderivationdots
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The systematic derivation of constants of the motion, based on Killing tensors and the gauge covariant approach, is outlined. Quantum dots are shown to support second-, third- and fourth-rank Killing tensors.

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  1. The Bohlin variant of the Eisenhart lift

    nlin.SI 2026-02 unverdicted novelty 7.0

    The Bohlin variant of the Eisenhart lift embeds Lagrangian systems into timelike geodesics of conformally flat (d+2)-dimensional metrics and yields novel examples of such metrics admitting higher-rank Killing tensors.