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math.DG2015★ 3 cited
On the uniqueness of the Gauss-Bonnet-Chern formula (after Gilkey-Park-Sekigawa)
A. Navarro, J. Navarro
On an oriented Riemannian manifold, the Gauss-Bonnet-Chern formula asserts that the Pfaffian of the metric represents, in de Rham cohomology, the Euler class of the tangent bundle.…
math.DG2013★ 4 cited
Dimensional curvature identities on pseudo-Riemannian geometry
Alberto Navarro, Jose Navarro
The curvature tensor of a pseudo-Riemannian metric, and its covariant derivatives, satisfy certain identities that hold on any manifold of dimension less or equal than . In this…