# 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…

## One Citation

Universal curvature identities and Euler Lagrange Formulas for Kaehler manifolds

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We relate certain universal curvature identities for Kaehler manifolds to the Euler-Lagrange equations of the scalar invariants which are defined by pairing characteristic forms with powers of the…

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