Article contents
Transitivity of codimension-one Anosov actions of ℝk on closed manifolds
Published online by Cambridge University Press: 18 January 2010
Abstract
We consider Anosov actions of ℝk, k≥2, on a closed connected orientable manifold M, of codimension one, i.e. such that the unstable foliation associated to some element of ℝk has dimension one. 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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 2009
References
- 6
- Cited by