Linear transports along paths in vector bundles. IV. Consistency with bundle metrics
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0505008,
title = {Linear transports along paths in vector bundles. IV. Consistency with bundle metrics},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math/0505008},
year = {2007}
}
Comments
20 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/