8 citations · 48 across the 26 of their papers we have counts for
5 papers · 2 filters
Linear transports along paths in vector bundles. IV. Consistency with bundle metrics
Bozhidar Z. Iliev
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 condi…
Transports along paths in fibre bundles. II. Ties with the theory of connections and parallel transports
Bozhidar Z. Iliev
A review of the parallel transport (translation) in fibre bundles is presented. The connections between transports along paths and parallel transports in fibre bundles are examined…
Transports along paths in Fibre Bundles. I. General Theory
Bozhidar Z. Iliev
Transports along path in fibre bundles are axiomatically introduced. Their general functional form and some their simple properties are investigated. The relationships of the trans…
Parallel transports in tensor spaces generated by derivations of tensor algebras
Bozhidar Z. Iliev
The (parallel linear) transports in tensor spaces generated by derivations of the tensor algebra along paths are axiomatically described. Certain their properties are investigated.…
Linear transports along paths in vector bundles. III. Curvature and torsion
Bozhidar Z. Iliev
Curvature and torsion of linear transports along paths in, respectively, vector bundles and the tangent bundle to a differentiable manifold are defined and certain their properties…