Transitivity of codimension one Anosov actions of R^k on closed   manifolds
  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. 
Thierry Barbot (UMPA-ENSL), Carlos Maquera