Geodesic
Fully geodetic surfaces in Riman orthogonal composition spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1990), pp. 37-42

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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. 
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     author = {L. Syaotzin and L. A. Matevosyan},
     title = {Fully geodetic surfaces in {Riman} orthogonal composition spaces},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {37--42},
     publisher = {mathdoc},
     number = {2},
     year = {1990},
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L. Syaotzin; L. A. Matevosyan. Fully geodetic surfaces in Riman orthogonal composition spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1990), pp. 37-42. http://geodesic.mathdoc.fr/item/UZERU_1990_2_a4/