Metric form of equations of motion for a test point particle in a potential field

The paper is dedicated to construction of a special geometrical formulation of force interactions. Different four-dimensional spaces correspond to different reference systems. Motion of test particles in potential fields is consides red for simplification of mathematical formalism. It is shown that 3-dimensional tra ectories of a test point charged particle can be considered as geodesiss lying on isotropic surfaces of four-dimensional configuration space. Connectivity of this space has torsion, and translation is non-metric