Special bases for derivations of tensor algebras. I. Cases in a neighborhood and at a point

2003/03/29 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, E5-92-507, Dubna, 1992 · 14 LaTeX pages. This paper is a preliminary version of the e-Print gr-qc/9608019. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2003/03/29 · arxiv updated 2009/11/30

Abstract

Necessary and sufficient conditions are investigated for the existence of local bases in which the components of derivations of tensor algebras over differentiable manifold vanish in a neighborhood or only at a single point. The problem when these bases are holonomic or anholonomic is considered. Attention is paid to the case of linear connections. Relations of these problems with the equivalence principle are pointed out.

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