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math.DG2026
Fedosov manifolds with parallel symplectic Weyl curvature
Shane Rankin, Ivo Terek
A classical 1977 result by Roter states that a Riemannian manifold of dimension at least four with parallel Weyl curvature must be locally symmetric or conformally flat. We establi…
math.DG2026
The curvature of left-invariant magnetic systems
Shane Rankin, Ivo Terek, David Weed
We compute the magnetic curvatures (in the sense of Assenza) of left-invariant magnetic systems on Lie groups and explore relations between curvature properties and algebraic prope…
math.DG2026
Algebroid Desingularizable Poisson Structures
Shane Rankin
We introduce algebroid desingularizable Poisson manifolds, those Poisson manifolds induced by a symplectic Lie algebroid with an almost-injective anchor. This class coincides with…