Dimensional curvature identities on pseudo-Riemannian geometry

@article{Navarro2014DimensionalCI,
  title={Dimensional curvature identities on pseudo-Riemannian geometry},
  author={A. Navarro and J. Navarro},
  journal={Journal of Geometry and Physics},
  year={2014},
  volume={86},
  pages={554-563}
}
Abstract For a fixed n ∈ N , the curvature tensor of a pseudo-Riemannian metric, as well as its covariant derivatives, satisfies certain identities that hold on any manifold of dimension less than or equal to n . In this paper, we re-elaborate recent results by Gilkey–Park–Sekigawa regarding these p -covariant curvature identities, for p = 0 , 2 . To this end, we use the classical theory of natural operations that allows us to simplify some arguments and to generalize the description of Gilkey… 
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