Affiliation:
1. Laboratory of Mathematical Modeling in Physics, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Boul. Tzarigradsko chaussée 72, 1784 Sofia, Bulgaria
Abstract
The concepts "connection", "parallel transport" and "transport along paths" are axiomatically defined. In differentiable bundles, bijective mappings between the sets of connections, parallel transports and transports along paths satisfying some additional conditions are found; in particular, the equivalence between the concepts "connection" and "(axiomatically defined) parallel transport" is established. Some results, which are specific for topological and vector bundles, are presented.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Cited by
1 articles.
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