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

Ali Tahzibi·Carlos Maquera
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Abstract

In 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.

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Ali Tahzibi, Carlos Maquera. 2006-06-05. Robustly transitive actions of $R^2$ on compact three manifolds. https://arxiv.org/abs/math/0606103

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