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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…
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).…