PROPERTIES OF THE INVARIANT COMPONENTS OF THE WEYL TENSOR IMPLIED BY THE BIANCHI IDENTITIES

For vacuum regions in pseudo-Riemannian spaces in finite or infinitely large volumes of four-dimensional spaces, the Riemann tensor becomes the Weyl tensor. Bawd on the conditions of continuity for the space ge ometry, the form of the invariant components of the Weyl tensor, as fu nctions of the coordinate arguments in the Fermi variables on canonica l global time coordinate curves, is determined With reference to a com plete system of independent canonical invariants of the different type s of Weyl tensor in four-dimensional spaces, the conditions of continu ity are used to determine the form of these invariants as functions of the comoving individual Fermi coordinates at points of the pseudo-Rie mannian spaces.