On Killing vectors and harmonic vectors at quantization of gravitation

Attention is paid to two shortcomings occuring at quantization in the curved spacetime: mathematical shortcoming consisting in the killing vector absence in arbitrary Riemann space and physical one consisting in absence of energy-momentum tensor of the gravitational field. It is shown, that both shortcomings may be removed, if the killing vectors are replaced by harmonic vectors corresponding to shift generators of the Poincare group existing in arbitrary Riemann space