1 N ov 2 00 7 Links between connections , parallel transports and transports along paths
نویسنده
چکیده
The 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. Bozhidar Z. Iliev: Connections and (parallel) transports along paths 1
منابع مشابه
A ug 2 00 7 Links between connections , parallel transports and transports along paths in differentiable fibre bundles ( Completely revised version )
The 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. Bozhid...
متن کاملA pr 2 00 5 Links between connections , parallel transports , and transports along paths in differentiable fibre bundles
The 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. Bozh...
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The 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 r...
متن کاملar X iv : m at h / 05 03 00 6 v 1 [ m at h . D G ] 1 M ar 2 00 5 Transports along Paths in Fibre Bundles
The L A T E X 2ε source file of this paper was produced by converting a ChiWriter 3.16 source file into ChiWriter 4.0 file and then converting the latter file into a L A T E X 2.09 source file, which was manually edited for correcting numerous errors and for improving the appearance of the text. As a result of this procedure, some errors in the text may exist. Abstract A review of the parallel ...
متن کاملOn the axiomatization of “parallel transport” and its generalization
A concise discussion of the axiomatic approach to the concept of parallel transport is presented. In particular, attention is drawn to a bijective mapping 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, which form their proper subset. Some properties of...
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