English

On Curvatures of Sections of Tensor Bundles

Differential Geometry 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0306202,
  title  = {On Curvatures of Sections of Tensor Bundles},
  author = {P. I. Katsylo},
  journal= {arXiv preprint arXiv:math/0306202},
  year   = {2007}
}