Geodesic
The $m$-plane distribution in an $n$-dimensional Riemannian space
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 123-133.

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The author generalizes some notions (such as canjugate directions, directions of curvature of the first and the second kind, principal directions), well known for $m$-dirnensional surfaces in Euclidean $n$-space to the case of a distribution of m-planes in Riemannian $V_n$. Various related results are obtained, using the method of G. F. Laptev. 
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     author = {J. I. Shink\={u}nas},
     title = {The $m$-plane distribution in an $n$-dimensional {Riemannian} space},
     journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
     pages = {123--133},
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     volume = {5},
     year = {1974},
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J. I. Shinkūnas. The $m$-plane distribution in an $n$-dimensional Riemannian space. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 123-133. http://geodesic.mathdoc.fr/item/INTG_1974_5_a4/