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Advances in Applied Clifford Algebras

, Volume 11, Supplement 1, pp 93–120 | Cite as

Curvature actions on Spin(n) bundles

  • Collin Bennett
  • Thomas Branson
Article
  • 54 Downloads

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 ν 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 ν.

Keywords

Scalar Curvature Weyl Group Curvature Action Weyl Tensor Riemann Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser-Verlag AG 2001

Authors and Affiliations

  1. 1.Department of Mathematical and Computer SciencesLoyola UniversityChicagoUSA
  2. 2.Department of MathematicsUniversity of IowaIowa CityUSA

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