Special bases for derivations of tensor algebras. II. The case along paths

2003/04/12 by Bozhidar Z. Iliev
Mathematics · Physics and Astronomy · #math.DG #gr-qc #math-ph #math.MP #msc:57R25 #msc:53B05 #msc:53B99 #msc:53C99 #msc:83C99

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published as Communication JINR, E5-92-508, Dubna, 1992 · 10 LaTeX pages. This paper is a continuation of the e-Print No. math.DG/0303373 and preliminary version of the e-Print gr-qc/9709053. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2003/04/12 · arxiv updated 2009/11/30

Abstract

The existence of local bases in which the components of derivations of tensor algebras over a differentiable manifold vanish along paths is proved. The holonomicity of these bases is investigated. The obtained results are applied to the case of linear connections. Some relations with the equivalence principle are shown.

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