On the solutions of weak normality equations in multidimensional case

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dc.creatorSharipov, Ruslan
dc.date2000-12-14
dc.date.accessioned2026-07-07T04:39:13Z
dc.date.available2026-07-07T04:39:13Z
dc.descriptionThe system of weak normality equations constitutes a part in the complete system of normality equations. Solutions of each of these two systems of equations are associated with some definite classes of Newtonian dynamical systems in Riemannian manifolds. In this paper for the case of simplest flat Riemannian manifold $M=\Bbb R^n$ with $n\geq 3$ we show that there exist solutions of weak normality equations that do not solve complete system of normality equations in whole. Hence associated classes of Newtonian dynamical systems do not coincide with each other.
dc.descriptionAmSTeX, 16 pages, amsppt style
dc.identifierhttps://arxiv.org/abs/math/0012110
dc.identifierhttp://arxiv.org/abs/math/0012110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60569
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53B20
dc.titleOn the solutions of weak normality equations in multidimensional case
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