Special bases for derivations of tensor algebras. III. Case along smooth maps with separable points of selfintersection

Mathematics – Differential Geometry

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10 LaTeX pages. This paper is a continuation of the e-Prints math.DG/0303373 and math.DG/0304157 and is a preliminary version

Scientific paper

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.

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