Robustly transitive actions of $R^2$ on compact three manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113024In this paper, we define $C^1$-robust transitivity for actions of $\RR^2$ on closed connected orientable manifolds. We prove that if the ambient manifold is three dimensional and the dense orbit of a robustly transitive action is not planar, then it is "degenerate" and the action is defined by an Anosov flow.Dynamical Systems37DxxRobustly transitive actions of $R^2$ on compact three manifoldstext