Deviation equations in spaces with affine connection
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
Connections between Lie derivatives and the deviation equation has been investigated in spaces with affine connection. The deviation equations of the geodesics as well as deviation equations of non-geodesics trajectories have been obtained on this base. This is done via imposing certain conditions on the Lie derivatives with respect to the tangential vector of the basic trajectory.
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