First order deviation equations in spaces with a transport along paths
数学物理
2007-05-23 v1 广义相对论与量子宇宙学
微分几何
math.MP
摘要
In a coordinate free form are found the (deviation) equations satisfied by the (infinitesimal) deviation vector, relative velocity, relative momentum, relative acceleration and relative energy of two point particles in a differentiable manifold the tangent bundle of which is endowed with a linear transport along paths, a linear connection and, in the last case, also with a metric. Some approximate relations between these quantities are obtained.
引用
@article{arxiv.math-ph/0303038,
title = {First order deviation equations in spaces with a transport along paths},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math-ph/0303038},
year = {2007}
}
备注
12 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/