Newtonian normal shift in multidimensional Riemannian geometry
Differential Geometry
2015-06-26 v1 Dynamical Systems
Abstract
Explicit description for arbitrary Newtonian dynamical system admitting the normal shift in Riemannian manifold of the dimension is found. On the base of this result the kinematics of normal shift of hypersurfaces along trajectories of such system is studied.
Cite
@article{arxiv.math/0006125,
title = {Newtonian normal shift in multidimensional Riemannian geometry},
author = {Ruslan Sharipov},
journal= {arXiv preprint arXiv:math/0006125},
year = {2015}
}
Comments
AmSTeX, 38 pages, amsppt style