Affine connection adjoined to web W(1, n, 1)

The 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system). Components of the torsion tensor of this connection are expressed through the functions defining the s...

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Bibliographic Details
Main Author: A. A. Duyunova
Format: Article
Language:Russian
Published: Moscow State Technical University of Civil Aviation 2016-11-01
Series:Научный вестник МГТУ ГА
Subjects:
Online Access:https://avia.mstuca.ru/jour/article/view/239
Description
Summary:The 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system). Components of the torsion tensor of this connection are expressed through the functions defining the system of differential equations. A general form of the system of differential equations with the zero torsion tensor is obtained.
ISSN:2079-0619
2542-0119