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On Curvatures of Sections of Tensor Bundles

P. I. Katsylo

math.DGarXiv:math/0306202

Abstract

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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