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arXiv:math/0412010 [math.DG]AbstractReferencesReviewsResources

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

Bozhidar Z. Iliev

Published 2004-12-01Version 1

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.

Comments: 16 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
Journal: Communication JINR, E5-93-260, Dubna, 1993
Categories: math.DG, gr-qc, math-ph, math.MP
Subjects: 53C99, 53B99, 57R35
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