Links between connections, parallel transports, and transports along paths in differentiable fibre bundles

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dc.creatorIliev, Bozhidar Z.
dc.date2005-04-01
dc.date2008-03-01
dc.date.accessioned2026-07-07T09:23:52Z
dc.date.available2026-07-07T09:23:52Z
dc.descriptionThe axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports, and transports along paths satisfying some additional conditions, are constructed. 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.
dc.descriptionIn v.4 is added a section devoted to some peculiarities of (parallel) transports in vector bundles. For other papers on this topic, view http://theo.inrne.bas.bg/~bozho/
dc.identifierhttps://arxiv.org/abs/math/0504010
dc.identifierhttp://arxiv.org/abs/math/0504010
dc.identifierInternational Journal of Geometric Methods in Modern Physics, Vol. 2, No. 5 (2005) 823-838
dc.identifierdoi:10.1142/S0219887805000806
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155892
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C99, 53C05 (Primary); 55R99, 58A30 (Secondary)
dc.titleLinks between connections, parallel transports, and transports along paths in differentiable fibre bundles
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