Abstract We investigate conformal Fedosov structures on (pseudo-) Riemannian manifolds of Roter type. Using the integrability condition for the conformal Fedosov equation = ∇ ω = θ ⊗ ω, we show that the Lee form is closed and can be gauged away, reducing the problem to the classical Fedosov case with a parallel symplectic form. By exploiting the Roter-type decomposition of the curvature tensor, we establish that any such manifold must have constant sectional curvature. In particular, conformal Fedosov structures do not exist on non-trivial Roter type manifolds. This result extends earlier non-existence theorems for symmetric, recurrent, and quasi-constant curvature manifolds to the full Roter type class, revealing the strong rigidity of conformally Fedosov geometry.
Peška et al. (Wed,) studied this question.