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Linear Transports along Paths in Vector Bundles. II. Some Applications

Research paper by Bozhidar Z. Iliev

Indexed on: 01 Dec '04Published on: 01 Dec '04Published in: Mathematics - Differential Geometry



Abstract

The linear transports along paths in vector bundles introduced in Ref. [1] are applied to the special case of tensor bundles over a given differentiable manifold. Links with the transports along paths generated by derivations of tensor algebras are investigated. A possible generalization of the theory of geodesics is proposed when the parallel transport generated by a linear connection is replaced with an arbitrary linear transport along paths in the tangent bundle.