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On the axiomatization of "parallel transports" and and one its generalization

Bozhidar Z. Iliev
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Abstract

A concise discussion of the axiomatic approach to the concept of parallel transport is presented. Attention is drawn to a bijective map between the sets of connections and (axiomatically defined) parallel transports. The transports along paths are pointed as a generalization of the (axiomatically defined) parallel transports. Some properties of the general transports along paths are presented.

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Bozhidar Z. Iliev. 2007-11-01. On the axiomatization of "parallel transports" and and one its generalization. https://arxiv.org/abs/math-ph/0510005

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