Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Bukusheva A. V. Foliation on Distribution with Finslerian Metric. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 3, pp. 247-251. DOI: 10.18500/1816-9791-2014-14-3-247-251

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Foliation on Distribution with Finslerian Metric

Bukusheva Aliya Vladimirovna, Saratov State University

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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