GEOMETRIC AND ALGEBRAIC PROPERTIES OF FIRST-ORDER DIFFERENTIAL EQUATIONS ON SMOOTH FINITE-DIMENSIONAL REAL MANIFOLDS

GEOMETRIC AND ALGEBRAIC PROPERTIES OF FIRST-ORDER DIFFERENTIAL EQUATIONS ON SMOOTH FINITE-DIMENSIONAL REAL MANIFOLDS

We consider the geometric and algebraic properties of the first-order differential equation on smooth finite-dimensional real manifolds. An affine connection without torsion is compared with a differential flow (autonomic or non-autonomic) on a manifold, with all the original trajectories being some...

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Bibliographic Details
Main Authors: Забелина Светлана Борисовна, Марченко Татьяна Андреевна, Матвеев Олег Александрович, Пинчук Ирина Александровна
Format: Article
Language:Russian
Published: Moscow Region State University Editorial Office 2019-12-01
Series:Вестник московского государственного областного университета. Серия: Физика-математика
Subjects:
systems of ordinary differential equations
smooth manifolds
affine connections
universal algebras
quasi-groups
Online Access:http://vestnik-mgou.ru/Articles/View/13383

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http://vestnik-mgou.ru/Articles/View/13383

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