3 papers
math.DG2024
Dimensional curvature identities in Fedosov geometry
Adrián Gordillo-Merino, Raúl Martínez-Bohórquez, José Navarro-Garmendia
The curvature tensor of a symplectic connection, as well as its covariant derivatives, satisfy certain identities that hold on any manifold of dimension less than or equal to a fix…
gr-qc2023
On the existence of the electromagnetic energy tensor in second order Lovelock gravities
Raúl Martínez-Bohórquez
In this work we prove that there are no electromagnetic energy tensors in second order Lovelock gravities that verify properties equivalent to those of the Maxwell electromagnetic…
math.DG2023
On invariant operations of Fedosov structures
Adrián Gordillo-Merino, Raúl Martínez-Bohórquez, José Navarro-Garmendia
In this paper we study invariant local operations that can performed on a Fedosov manifold, with a particular emphasis on tensor-valued operations (also known as natural tensors).…