Geodesic
Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics
Communications in Mathematics, Tome 20 (2012) no. 2, pp. 137-145.

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In this paper we develop the distinguished (d-) Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures and some geometrical Maxwell-like and Einstein-like equations) for the polymomentum Hamiltonian which governs the multi-time electrodynamics.
Classification : 53C07, 53C80, 70S05
Keywords: jet polymomentum Hamiltonian of electrodynamics; Cartan canonical connection; Maxwell-like and Einstein-like equations 
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Oană, Alexandru; Neagu, Mircea. Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics. Communications in Mathematics, Tome 20 (2012) no. 2, pp. 137-145. http://geodesic.mathdoc.fr/item/COMIM_2012__20_2_a5/