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

Bozhidar Z. Iliev (Institute for Nuclear Research; Bulgaria); Bulgarian Academy of Sciences; Nuclear Energy; Sofia

arxiv: math/0304157 · v1 · submitted 2003-04-12 · 🧮 math.DG · gr-qc· math-ph· math.MP

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

Bozhidar Z. Iliev (Institute for Nuclear Research , Nuclear Energy , Bulgarian Academy of Sciences , Sofia , Bulgaria) This is my paper

classification 🧮 math.DG gr-qcmath-phmath.MP

keywords basesalgebrasalongcasederivationspathstensorapplied

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

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