On the axiomatization of "parallel transports" and and one its generalization
arXiv:math-ph/0510005
Abstract
A concise discussion of the axiomatic approach to the concept of parallel transport is presented. Attention is drawn to a bijective map 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. Some properties of the general transports along paths are presented.
In v3 is corrected an error in proposition 5.1 (now theorem 5.1) Talk at the 8th Int. Conf. of Tensor Society on "Differential geometry, functional & complex, informatics and their applications" Varna, Bulgaria, 22-26 Aug., 2005. For other papers on the same topic, view the "publication" pages at http://theo.inrne.bas.bg/~bozho/
References in corpus (4)
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- Normal frames and linear transports along paths in vector bundles
- Transports along Paths in Fibre Bundles. III. Consistency with Bundle Morphisms
- Transports along paths in fibre bundles. II. Ties with the theory of connections and parallel transports