Known calculations, made as early as by Poisson for the transformation of the velocity of points of space from system Θ to Θ' taking into consideration the four-dimensional space, will be repeated in this chapter.

However, there is a significant difference between the calculations presented herein and those currently existing, since the former strictly introduce differential forms, defined on a differential manifold and connected with the rotations of any SO(n) group, while emphasizing their invariant hypersurfaces...