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First order deviation equations in spaces with a transport along paths

Bozhidar Z. Iliev
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Abstract

In a coordinate free form are found the (deviation) equations satisfied by the (infinitesimal) deviation vector, relative velocity, relative momentum, relative acceleration and relative energy of two point particles in a differentiable manifold the tangent bundle of which is endowed with a linear transport along paths, a linear connection and, in the last case, also with a metric. Some approximate relations between these quantities are obtained.

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Bozhidar Z. Iliev. 2003-03-15. First order deviation equations in spaces with a transport along paths. https://arxiv.org/abs/math-ph/0303038

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