Abstract
The general Randers spaces were introduced by R. Miron [2]. These are some generalizations of Randers spaces denoted GR<sup>n</sup> = (M; F + β ), equipped with the Lorentz nonlinear connection.
In the present paper we de ne the General Randers Mechanical System as a triple (M; T; F<sub>e</sub>), where T is the energy of the R<sup>n</sup> space. We obtain the expressions for the curvature and the torsion of GR<sup>n</sup> and we give the formula for the local coecients of the canonical connection.
Cuvinte cheie
General Randers space
Finsler space
Lorentz nonlinear connection.