Geodesic
$O(n)\times O(m-n)$-structures on $m$-dimensional manifolds, and submersions of Riemannian manifolds
Algebra i analiz, Tome 7 (1995) no. 6, pp. 188-204.

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     author = {S. E. Stepanov},
     title = {$O(n)\times O(m-n)$-structures on $m$-dimensional manifolds, and submersions of {Riemannian} manifolds},
     journal = {Algebra i analiz},
     pages = {188--204},
     publisher = {mathdoc},
     volume = {7},
     number = {6},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_1995_7_6_a5/}
}
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S. E. Stepanov. $O(n)\times O(m-n)$-structures on $m$-dimensional manifolds, and submersions of Riemannian manifolds. Algebra i analiz, Tome 7 (1995) no. 6, pp. 188-204. http://geodesic.mathdoc.fr/item/AA_1995_7_6_a5/