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arxiv: math/0502009 · v1 · submitted 2005-02-01 · 🧮 math.DG · gr-qc· math-ph· math.MP

Parallel transports in tensor spaces generated by derivations of tensor algebras

classification 🧮 math.DG gr-qcmath-phmath.MP
keywords tensorderivationstransportsalgebraalonggeneratedparallelpaths
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The (parallel linear) transports in tensor spaces generated by derivations of the tensor algebra along paths are axiomatically described. Certain their properties are investigated. Transports along paths defined by derivations of the tensor algebra over a differentiable manifold are considered.

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