Fully geodetic surfaces in Riman orthogonal composition spaces

The surfaces $X_m=X_{m_1}+X_{m_2}$ are considered in Riman space $V_n$ admitting two multiform compositions with fully orthogonal transversal positions $V_{n_1}$ and $V_{n_2}$, where $X_{m_1}$ is fully geodetic surface in $V_{n_1}$ and $X_{m_2}$ f.g.s. in $V_{n_2}$. The basic values of surface $X_m$ have also been found and the following statement is proved: in order all the surfaces be completely geodetic, it is necessary and sufficient $V_n$ being reduced space.