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arxiv: math/0512008 · v2 · submitted 2005-12-01 · 🧮 math.DG · gr-qc· math-ph· math.MP

Deviation equations in spaces with affine connection

classification 🧮 math.DG gr-qcmath-phmath.MP
keywords deviationequationsaffinebeenconnectionderivativesspacesbase
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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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