The general Randers spaces were introduced by R. Miron [2]. These are some generalizations of Randers spaces denoted GRn = (M; F + ÎČ ), equipped with the Lorentz nonlinear connection.
In the present paper we de ne the General Randers Mechanical System as a triple (M; T; Fe), where T is the energy of the Rn space. We obtain the expressions for the curvature and the torsion of GRn and we give the formula for the local coecients of the canonical connection. | 
