20 citations · 34 across the 8 of their papers we have counts for
4 papers · 1 filter
Uniqueness of the torsion-curvature pair
Raúl Martínez Bohórquez, José Navarro, Juan B. Sancho
On smooth manifolds of dimension , we prove that the torsion and curvature are, up to a scalar factor, the only pair of a vector-valued 2-form and an endomorphism-valued 2…
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…
Moduli spaces for finite-order jets of Riemannian metrics
A. Gordillo, J. Navarro, J. B. Sancho
We construct the moduli space of r-jets at a point of Riemannian metrics on a smooth manifold. The construction is closely related to the problem of classification of jet metrics v…