Geodesic
Foliation on Distribution with Finslerian Metric
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 247-251

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A distribution $D$ with a admissible Finsler metric is defined on a smooth manifold $X$. Let $F$ be a foliation on $X$. On the distribution of $D$ as on a smooth manifold foliation $F$ corresponds to the foliation $TF$. Using this foliation and connection over distribution we define analog exterior derivative. Exterior differential forms is applied to a special form. 
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     author = {A. V. Bukusheva},
     title = {Foliation on {Distribution} with {Finslerian} {Metric}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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A. V. Bukusheva. Foliation on Distribution with Finslerian Metric. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 247-251. http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a0/