English

Curvature actions on Spin(n) bundles

High Energy Physics - Theory 2007-05-23 v1

Abstract

We compute the number of linearly independent ways in which a tensor of Weyl type may act upon a given irreducible tensor-spinor bundle V over a Riemannian manifold. Together with the analogous but easier problem involving actions of tensors of Einstein type, this enumerates the possible curvature actions on V.

Keywords

Cite

@article{arxiv.hep-th/0109188,
  title  = {Curvature actions on Spin(n) bundles},
  author = {Collin Bennett and Thomas Branson},
  journal= {arXiv preprint arXiv:hep-th/0109188},
  year   = {2007}
}

Comments

24 pages, LaTeX