A ug 2 00 7 Links between connections , parallel transports and transports along paths in differentiable fibre bundles ( Completely revised version )
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 (v.2, revised) 1
منابع مشابه
A 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...
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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 ...
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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. Bozhid...
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The linear transports along paths in vector bundles introduced in Ref. [1] are applied to the special case of tensor bundles over a given differentiable manifold. Links with the transports along paths generated by derivations of tensor algebras are investigated. A possible generalization of the theory of geodesics is proposed when the parallel transport generated by a linear connection is repla...
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