Transports along paths in fibre bundles. II. Ties with the theory of connections and parallel transports
Bozhidar Z. Iliev (Institute for Nuclear Research, Nuclear Energy,, Bulgarian Academy of Sciences, Sofia, Bulgaria)
TL;DR
This paper reviews the concept of parallel transport in fibre bundles, establishing that traditional parallel transports are specific instances of more general transports along paths, thereby clarifying their theoretical relationship.
Contribution
It demonstrates that parallel transports are particular cases of transports along paths, deepening the understanding of their connection in fibre bundle theory.
Findings
Parallel transports are special cases of transports along paths.
The paper clarifies the relationship between transports and connections.
Provides a unified view of transport concepts in fibre bundles.
Abstract
A review of the parallel transport (translation) in fibre bundles is presented. The connections between transports along paths and parallel transports in fibre bundles are examined. It is proved that the latter ones are special cases of the former.
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Taxonomy
TopicsOptical Network Technologies · Black Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions