Geodesic
Configuration with induced framing manifolds in a~homogeneous space
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 319-334

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In am $n$-dimensional homogeneous space the manifold of inducing figures with a given induced tangent distribution is considered. Different fields of geometrical objects are investigated, The manifolds of nоn-degenerate central hyperquadrics in an $n$-dimensional affine space are studied in detail. 
@article{INTG_1974_5_a12,
     author = {V. S. Malakhovskii},
     title = {Configuration with induced framing manifolds in a~homogeneous space},
     journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
     pages = {319--334},
     publisher = {mathdoc},
     volume = {5},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTG_1974_5_a12/}
}
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V. S. Malakhovskii. Configuration with induced framing manifolds in a~homogeneous space. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 319-334. http://geodesic.mathdoc.fr/item/INTG_1974_5_a12/