Links between connections, parallel transports, and transports along paths in differentiable fibre bundles
Iliev, Bozhidar Z.
arXiv, 0504010 / Harvested from arXiv
Text on arXiv
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 results which are specific for topological and vector bundles are presented.
Publié le : 2005-04-01
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C99, 53C05 (Primary),  55R99, 58A30 (Secondary) 
@article{0504010,
     author = {Iliev, Bozhidar Z.},
     title = {Links between connections, parallel transports, and transports along
  paths in differentiable fibre bundles},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504010}
}

Iliev, Bozhidar Z. Links between connections, parallel transports, and transports along
  paths in differentiable fibre bundles. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504010/