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ХАРАКТЕРИСТИКА КЛАССОВ СИСТЕМ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ИСПОЛЬЗОВАНИЕМ СВЯЗНОСТЕЙ

ХАРАКТЕРИСТИКА КЛАССОВ СИСТЕМ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ИСПОЛЬЗОВАНИЕМ СВЯЗНОСТЕЙ

Abstract

The author obtained geometrical characteristics of a number of classes of systems of differential equations of the second order distinguished on the basis of two kinds of connectivities in fibration of reters. The work is performed by means of the theoretical and group method. The system of differential equations is considered as an equation of some surface in the space of tangent elements.

Получены геометрические характеристики ряда классов систем дифференциальных уравнений второго порядка, выделенных на основе двух видов связностей в расслоении ретеров. Работа выполнена теоретико-групповым методом. Система дифференциальных уравнений рассматривается как уравнение некоторой поверхности в пространстве касательных элементов.

Keywords

ТЕНЗОРЫ КРУЧЕНИЯ-КРИВИЗНЫ, СМЕШАННЫЕ ТЕНЗОРЫ КРУЧЕНИЯ-КРИВИЗНЫ, ОБЪЕКТ СВЯЗНОСТИ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold