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.
Publié le : 2005-12-01
Classification:
Mathematics - Differential Geometry,
General Relativity and Quantum Cosmology,
Mathematical Physics,
53B05 (Primary) 83C99, 53B50 (Secondary)
@article{0512008,
author = {Iliev, Bozhidar Z. and Manoff, Sawa S.},
title = {Deviation equations in spaces with affine connection},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0512008}
}
Iliev, Bozhidar Z.; Manoff, Sawa S. Deviation equations in spaces with affine connection. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512008/