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

arXiv Mathematics eprints
 Pub Date:
 March 2003
 DOI:
 10.48550/arXiv.math/0303373
 arXiv:
 arXiv:math/0303373
 Bibcode:
 2003math......3373I
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 General Relativity and Quantum Cosmology;
 57R25 (Primary) 53B05;
 53B99;
 53C99;
 83C99 (Secondary)
 EPrint:
 14 LaTeX pages. This paper is a preliminary version of the ePrint grqc/9608019. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/