Geodesic
Certain multidimensional two-webs of the type $T_{m,n}^{mn}$
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 335-344.

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Multidimensional 2-webs are formed by two families of submanifolds $V_m$ and $V_n$ of a given $(m+n+p)$-manifold $\mathfrak M$ so that through every point of $V_{mn}$ passes exactly one submanifold of each family. 2-webs with some prescribed differential-geometric properties are constructed. 
@article{INTG_1974_5_a13,
     author = {Yu. I. Mikhailov},
     title = {Certain multidimensional two-webs of the type $T_{m,n}^{mn}$},
     journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
     pages = {335--344},
     publisher = {mathdoc},
     volume = {5},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTG_1974_5_a13/}
}
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Yu. I. Mikhailov. Certain multidimensional two-webs of the type $T_{m,n}^{mn}$. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 335-344. http://geodesic.mathdoc.fr/item/INTG_1974_5_a13/