Shifts and rotations in the Riemann space

Vector fields XIsub(i) corresponding to the generators of Poincare group-infinitely small shifts and bends are determined by differential conditions of first order. These equations have non-trivial solutions in arbitrary Riemann space without twisting and they are a generalization for determination of shifts and bends in place space. Equations for shifts can be integrated. When imposing conditions on infinities in Minkowski space asymptotically plane on infinity, the solution is single. Vector fields XIsub(i) characterize physical system as a whole