Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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


For citation:

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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
10.09.2014
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Russian
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UDC: 
514.764

Foliation on Distribution with Finslerian Metric

Autors: 
Bukusheva Aliya Vladimirovna, Saratov State University
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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  2. Bejancu A., Farran H. R. Finsler geometry and natural foliations on the tangent bundle. Reports on Math. Physics, 2006, vol. 58, no. 1, pp. 131–146.
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  4. Bukusheva A. V., Galaev S. V. Almost Contact Metric Structures Defined by Connection over Distribution with Admissible Finslerian Metric. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 3, pp. 17–22 (in Russian).
  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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