Deviation equations in spaces with affine connection
Iliev, Bozhidar Z. · Manoff, Sawa S.
Differential Geometry
General Relativity and Quantum Cosmology
Mathematical Physics
53B05 (Primary) 83C99, 53B50 (Secondary)
الأصل · EN
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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