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

2004/12/01 by Bozhidar Z. Iliev
Mathematics · Physics and Astronomy · #math.DG #gr-qc #math-ph #math.MP #msc:53C99 #msc:53B99 #msc:57R35

paper · pdf

published as Communication JINR, E5-93-260, Dubna, 1993 · 16 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2004/12/01 · arxiv updated 2009/12/01

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.

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