Newtonian normal shift in multidimensional Riemannian geometry
微分几何
2015-06-26 v1 动力系统
摘要
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.
引用
@article{arxiv.math/0006125,
title = {Newtonian normal shift in multidimensional Riemannian geometry},
author = {Ruslan Sharipov},
journal= {arXiv preprint arXiv:math/0006125},
year = {2015}
}
备注
AmSTeX, 38 pages, amsppt style