Conformal killing tensors and covariant Hamiltonian dynamics

A covariant algorithm for deriving the conserved quantities for natural Hamiltonian systems is combined with the non-relativistic framework of Eisenhart, and of Duval, in which the classical trajectories arise as geodesics in a higher dimensional space-time, realized by Brinkmann manifolds. Conserve...

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Veröffentlicht in:Journal of mathematical physics 2014-12, Vol.55 (12), p.1
Hauptverfasser: Cariglia, M., Gibbons, G. W., van Holten, J.-W., Horvathy, P. A., Zhang, P.-M.
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Sprache:eng
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