Complete normality conditions for the dynamical systems on Riemannian manifolds
A.Yu. Boldin, A.A. Bronnikov, V.V. Dmitrieva, R.A. Sharipov (Bashkir, State University, Ufa, Russia)
TL;DR
This paper derives new equations that extend the normality conditions for Newtonian dynamical systems on Riemannian manifolds, moving from weak to complete normality conditions.
Contribution
It introduces additional equations that complete the set of normality conditions for Newtonian systems on Riemannian manifolds.
Findings
New equations for complete normality conditions
Extension from weak to complete normality conditions
Enhanced understanding of dynamical systems on manifolds
Abstract
New additional equations for the Newtonian dynamical systems on Riemannian manifolds are found. They supplement the previously found weak normality conditions up to the complete normality conditions for Newtonian dynamical systems.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · advanced mathematical theories