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

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

2006-06-05

arxiv.org/abs/math/0606103v1

Mathematics

Dynamical Systems

Scientific paper

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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