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Deviation equations in spaces with affine connection

Bozhidar Z. Iliev·Sawa S. Manoff
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Abstract

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.

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BibTeXRIS

Bozhidar Z. Iliev, Sawa S. Manoff. 2005-12-14. Deviation equations in spaces with affine connection. https://arxiv.org/abs/math/0512008

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