Cite this article as:
Bukusheva A. V. Foliation on Distribution with Finslerian Metric. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2014, vol. 14, iss. 3, pp. 247-251. DOI: https://doi.org/10.18500/1816-9791-2014-14-3-247-251
Language:
Russian
Heading:
UDC:
514.764
Foliation on Distribution with Finslerian Metric
Abstract:
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.
References
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5. Galaev S. V. Contact structures with admissible Finsler metrics. Physical Interpretation of Relativity Theory : Proc. of Intern. Meeting. Moscow, 4–7 July 2011, Moscow, BMSTU, 2012, pp. 80–87.
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