{ "id": "math/0412010", "version": "v1", "published": "2004-12-01T07:04:38.000Z", "updated": "2004-12-01T07:04:38.000Z", "title": "Linear Transports along Paths in Vector Bundles. II. Some Applications", "authors": [ "Bozhidar Z. Iliev" ], "comment": "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" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-12-01T07:04:38.000Z" } ], "analyses": { "subjects": [ "53C99", "53B99", "57R35" ], "keywords": [ "vector bundles", "applications", "arbitrary linear transport", "tensor algebras", "special case" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 370024, "adsabs": "2004math.....12010I" } } }