Neter theorems in the canonical formalism of general relativity

In the framework of canonical formalism of the general relativity theory (GRT) a global variant of the Neter theorem is presented when the GRT effect for the total space is considered as finite time interval. The existence of the class of metrics, satisfying certain noncovariant boundary conditions, is shown, for which global approach to an invariant variational problem leads to generators of asymptotic translations Psup(μ). The expressions obtained for Psup(μ) are invariant only within the limits of a special class of coordinate transformations