Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 247-251
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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/
@article{ISU_2014_14_3_a0,
author = {A. V. Bukusheva},
title = {Foliation on {Distribution} with {Finslerian} {Metric}},
journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
pages = {247--251},
year = {2014},
volume = {14},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a0/}
}
TY - JOUR
AU - A. V. Bukusheva
TI - Foliation on Distribution with Finslerian Metric
JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY - 2014
SP - 247
EP - 251
VL - 14
IS - 3
UR - http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a0/
LA - ru
ID - ISU_2014_14_3_a0
ER -
%0 Journal Article
%A A. V. Bukusheva
%T Foliation on Distribution with Finslerian Metric
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2014
%P 247-251
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a0/
%G ru
%F ISU_2014_14_3_a0
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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