ON THE CONCEPT OF SPINORS IN GENERAL RELATIVITY,

A spinor calculus is derived from tensor calculus and corresponds to the linear differential geometry based on four invariant linear differential forms. In the special theory of relativity, the concept system of coordinates and frame can be identified in the general theory of relativity the system of coordinates which is common for all points of a certain space-time region has to be differentiated from the frame for every point. A frame is represented by four invariant linear differential forms, i.e. by four tensors of first rank.