On Curvatures of Sections of Tensor Bundles

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

We consider natural differential operations acting on sections of tensor
vector bundles. Arrising problems can be reformulated as invariant theoretical
problems (the IT-reduction). We give examples of usage of the IT-reduction. In
particular, on a manifold with a connection and a Poisson structure we
construct the canonical quantization.

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