First order deviation equations in spaces with a transport along paths

Abstract

In a coordinate free form are found the (deviation) equations satisfied by the (infinitesimal) deviation vector, relative velocity, relative momentum, relative acceleration and relative energy of two point particles in a differentiable manifold the tangent bundle of which is endowed with a linear transport along paths, a linear connection and, in the last case, also with a metric. Some approximate relations between these quantities are obtained.