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	STUDIA MATHEMATICA - Issue no. 3 / 2014

	Article:	ON THE GEOMETRY OF CONFORMAL HAMILTONIAN OF THE TIME-DEPENDENT COUPLED HARMONIC OSCILLATORS. Authors: .


	Abstract: In this paper we construct the distinguished (d-) geometry (in thesense of d-connections, d-torsions, d-curvatures, momentum geometrical gravitationaland electromagnetic theories) for the conformal Hamiltonian of the time dependent coupled oscillators on the dual 1-jet space J^1(R, R²). Mathematics Subject Classification (2010):* 70S05, 53C07, 53C80. Keywords: Conformal Hamiltonian of time-dependent coupled harmonic oscillators, Cartan canonical connection, d-torsions, d-curvatures, geometrical Einstein like equations.




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