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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 J1*(R, R2).

Mathematics Subject Classi fication (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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