dorsal/arxiv
View SchemaOn the solution of normality equations for the dimension $n\geq 3$
| Authors | Andrey Yu. Boldin, Ruslan A. Sharipov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9610006 |
| URL | https://arxiv.org/abs/solv-int/9610006 |
Abstract
The normality equations for the Newtonian dynamical systems on an arbitrary Riemannian manifold of the dimension $n \geq 3$ are considered. Locally the solution of such equations reduces to three possible cases: in two of them the solution is written out explicitly, and in the third case the equations of normality are reduced to an ordinary differential equation of the second order. Some new examples of explicit solutions of normality equations are constructed.
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"abstract": "The normality equations for the Newtonian dynamical systems on an arbitrary\nRiemannian manifold of the dimension $n \\geq 3$ are considered. Locally the\nsolution of such equations reduces to three possible cases: in two of them the\nsolution is written out explicitly, and in the third case the equations of\nnormality are reduced to an ordinary differential equation of the second order.\nSome new examples of explicit solutions of normality equations are constructed.",
"arxiv_id": "solv-int/9610006",
"authors": [
"Andrey Yu. Boldin",
"Ruslan A. Sharipov"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On the solution of normality equations for the dimension $n\\geq 3$",
"url": "https://arxiv.org/abs/solv-int/9610006"
},
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