Author:
BARBOT THIERRY,MAQUERA CARLOS
Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference26 articles.
1. Codimension one Anosov flows;Verjovsky;Bol. Soc. Mat. Mexicana (2),1974
2. Anosov flows on infra-homogeneous spaces
3. Open Manifolds Foliated by Planes
4. Ergodicity of Anosov actions
5. [23] Simic S. N. . Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions. ArXiv math.DS/0508024.
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献