Transitivity of codimension one Anosov actions of R^k on closed manifolds

Details Transitivity of codimension one Anosov actions of R^k on closed manifolds Transitivity of codimension one Anosov actions of R^k on closed manifolds

2008-07-15

arxiv.org/abs/0807.2367v2

Mathematics

Dynamical Systems

Some ambiguity about the "codimension one' property has been removed

Scientific paper

In this paper, we define codimension one Anosov actions of $\RR^k, k\geq 2,$
on a closed connected orientable manifold $M$. We prove that if the ambient
manifold has dimension greater than $k+2$, then the action is topologically
transitive. This generalizes a result of Verjovsky for codimension one Anosov
flows.

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