Deviation operator and deviation equations over spaces with affine connections and metrics |
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| Authors: | S Manoff |
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| Institution: | Department of Theoretical Physics, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Blvd. Tzarigradsko Chaussee 72, 1784 Sofia, Bulgaria |
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| Abstract: | The notion of deviation operator over spaces with affine connection (Ln-spaces) is introduced and its applications to deviation equations is considered. On the basis of a deviation identity, by means of sufficient or necessary and sufficient conditions, different deviation equations are obtained and considered. It is shown that the deviation equation for auto-parallel trajectories in Ln-spaces (geodesics in Vn-spaces) allows also other solutions than the well-known solutions for auto-parallel (geodesic) trajectories. |
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| Keywords: | Deviation operator Deviation equations Geodesic deviation equation Jacobi field Deviation equations of Synge and Schild Spaces with affine connections |
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