Robustly transitive actions of R2 on compact three manifolds
Ali Tahzibi, Carlos Maquera
Abstract
In this paper, we define C1-robust transitivity for actions of 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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