Abstract.
In this paper, we define robust transitivity for actions of ℝ2 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 the action is defined by an Anosov flow, i.e. its orbits coincide with the orbits of an Anosov flow.
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Tahzibi, A., Maquera, C. Robustly transitive actions of ℝ2 on compact three manifolds. Bull Braz Math Soc, New Series 38, 189–201 (2007). https://doi.org/10.1007/s00574-007-0043-4
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DOI: https://doi.org/10.1007/s00574-007-0043-4