In this research paper, we study geodesic mappings
of gravitation fields . The mapping listed are considered,
on the one hand, a generalization of aftomorfizm of
movement and harmonic mappings, and on the other
hand the practical mappings in the theory of relativity .
in this paper we:
1) defined Riemannian space , conformal mapping, Einstein
space , Ricci recurrent Einstein space.
2) study conformal mapping between Einstein spaces
corresponding flat surface, and Ricci recurrent Einstein
space.
