On the axiomatization of "parallel transports" and and one its generalization
Abstract
Description
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/
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/