仿射联络空间中的偏差方程
微分几何
2007-05-23 v2 广义相对论与量子宇宙学
数学物理
math.MP
摘要
在仿射联络空间中研究了 Lie 导数与偏差方程之间的联系。在此基础上得到了测地线的偏差方程以及非测地线轨迹的偏差方程。这是通过对基本轨迹的切向量所对应的 Lie 导数施加一定条件来实现的。
引用
@article{arxiv.math/0512008,
title = {Deviation equations in spaces with affine connection},
author = {Bozhidar Z. Iliev and Sawa S. Manoff},
journal= {arXiv preprint arXiv:math/0512008},
year = {2007}
}
备注
11 LaTeX page. Some typos are corrected in v.2. Translated from Russian and new typeset by B.Z. Iliev. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/ and http://theo.inrne.bas.bg/elpart/SavaManov/smanoff.html . Prof. Sawa Manoff passed away on May 27, 2005