20 citations · 77 across the 21 of their papers we have counts for
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A remark on the invariant theory of real Lie groups
A. Gordillo, J. Navarro, P. Sancho
We present a simple remark that assures that the invariant theory of certain real Lie groups coincides with that of the underlying affine, real algebraic groups. In particular, thi…
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.…
On moduli spaces for finite-order jets of linear connections
A. Gordillo, J. Navarro
We describe the ringed-space structure of moduli spaces of jets of linear connections (at a point) as orbit spaces of certain linear representations of the general linear group. Th…
Natural operations on differential forms
J. Navarro, J. B. Sancho
We prove that the only natural operations between differential forms are those obtained using linear combinations, the exterior product and the exterior differential. Our result ge…
Peetre-Slovák's theorem revisited
J. Navarro, J. B. Sancho
In 1960, J. Peetre proved the finiteness of the order of linear local operators. Later on, J. Slovák vastly generalized this theorem, proving the finiteness of the order of a broad…
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…