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.
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Bennett, C., Branson, T. Curvature actions on Spin(n) bundles. AACA 11 (Suppl 1), 93–120 (2001). https://doi.org/10.1007/BF03042211
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DOI: https://doi.org/10.1007/BF03042211