Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold
High Energy Physics - Theory
2008-02-03 v1 chao-dyn
Differential Geometry
Chaotic Dynamics
Abstract
Newtonian dynamical systems which accept the normal shift on an arbitrary Riemannian manifold are considered. For them the determinating equations making the weak normality condition are derived. The expansion for the algebra of tensor fields is constructed.
Cite
@article{arxiv.hep-th/9405021,
title = {Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold},
author = {A. Yu. Boldin and V. V. Dmitrieva and S. S. Safin and R. A. Sharipov},
journal= {arXiv preprint arXiv:hep-th/9405021},
year = {2008}
}
Comments
10 pages. Published in book: "Dynamical systems accepting the normal shift". Editor Sharipov R.A., Bashkir State University, Ufa 1994, pp. 4-19