Special bases for derivations of tensor algebras. III. Case along smooth maps with separable points of selfintersection
Abstract
Necessary and/or sufficient conditions are studied for the existence, uniqueness and holonomicity of bases in which on sufficiently general subsets of a differentiable manifold the components of derivations of the tensor algebra over it vanish. The linear connections and the equivalence principle are considered form that point of view.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2003
- DOI:
- arXiv:
- arXiv:math/0305061
- Bibcode:
- 2003math......5061I
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematical Physics;
- Mathematics - Mathematical Physics;
- General Relativity and Quantum Cosmology;
- 57R25 (Primary) 53B05;
- 53B99;
- 53C99;
- 83C99 (Secondary)
- E-Print:
- 10 LaTeX pages. This paper is a continuation of the e-Prints math.DG/0303373 and math.DG/0304157 and is a preliminary version of the e-Print gr-qc/9805088. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/