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Relative mechanical quantities in spaces with a transport along paths

Bozhidar Z. Iliev
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Abstract

The concepts of relative velocity and acceleration, deviation velocity and acceleration and relative momentum of point particles in spaces (manifolds), the tangent bundle of which is equipped with a transport along paths, are introduced. If the tangent bundle is endowed also with a metric, it gives rise also to the notion of a relative energy. Certain ties between these quantities are considered. The cases of massless particles and of special relativity are presented in this context.

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Bozhidar Z. Iliev. 2003-10-14. Relative mechanical quantities in spaces with a transport along paths. https://arxiv.org/abs/math-ph/0310024

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