The quantities derived from linear parallel displacements along an infinitesimal parallelogram

Abstract

The author studies objects provided from two linear parallel displacements. One is a difference of two parallel vectors provided from linear parallel displacements along two one way courses of an infinitesimal parallelogram. One of the others is a difference between an initial vector and a vector provided from a linear parallel displacement going around an infinitesimal parallelogram. The author guesses these objects are quantity to evaluate "a curvature" in each point of a Finsler space. To prove them is a problem of the future.