Linear transports along paths in vector bundles. IV. Consistency with bundle metrics
Iliev, Bozhidar Z.
arXiv, 0505008 / Harvested from arXiv
Text on arXiv
The problem for consistency between linear transports along paths and real bundle metrics in real vector bundles is stated. Necessary and/or sufficient conditions, as well as conditions for existence, for such consistency are derived. All metrics (resp. transports) consistent with a given transport (resp. metric) are explicitly obtained. The special case of linear transports, generated by derivations of tensor algebras, of vectors is considered. Analogous problems are investigated in complex vector bundles endowed with Hermitian metrics.
Publié le : 2005-05-01
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C99 (Primary) 53B99, 57R35 (Secondary) 
@article{0505008,
     author = {Iliev, Bozhidar Z.},
     title = {Linear transports along paths in vector bundles. IV. Consistency with
  bundle metrics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505008}
}

Iliev, Bozhidar Z. Linear transports along paths in vector bundles. IV. Consistency with
  bundle metrics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505008/