Geodesic
A criterion for foliations
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 2, pp. 30-40

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We obtain necessary and sufficient conditions for a foliation of codimension $q$ on $n$-dimensional manifold with transverse linear connection to admit a transverse invariant pseudo-Riemannian metric of a given signature which is parallel with the respect to the indicated connection. In particular we obtain a criterion for a foliation with transverse linear connection to be Riemannian foliation.
Mots-clés : foliation
Keywords: linear connection, holonomy group of a connection, the germ holonomy group of a leaf. 
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     title = {A criterion for foliations},
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N. I. Zhukova; K. I. Sheina. A criterion for foliations. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 2, pp. 30-40. http://geodesic.mathdoc.fr/item/SVMO_2016_18_2_a4/