Dominated splitting conjecture for robustly transitive contact flows

Let $X$ be a robustly transitive contact flow, meaning a contact flow that remains topologically transitive under the relevant perturbations within the class of contact flows. Contact-flow dominated splitting conjecture. The flow $X$ must admit a dominated splitting. This is proposed as a broader formulation of the geodesic-flow conjecture within the class of contact flows. The source does not state whether it is resolved.