On the axiomatization of "parallel transports" and and one its generalization
Mathematical Physics
2007-11-01 v2 Differential Geometry
math.MP
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.
Cite
@article{arxiv.math-ph/0510005,
title = {On the axiomatization of "parallel transports" and and one its generalization},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math-ph/0510005},
year = {2007}
}
Comments
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/