Local rigidity of higher rank non-abelian action on tours
Dynamical Systems
2014-06-02 v1
Abstract
In this paper, we show local smooth rigidity for higher rank ergodic nilpotent action by toral automorphisms and prove the existence of such action on any torus TN for any even N ? 6. We also give examples of smooth rigidity of actions having rank-one factors. The method is a generalization of the KAM (Kolmogorov-Arnold-Moser) iterative scheme.
Keywords
Cite
@article{arxiv.1405.7737,
title = {Local rigidity of higher rank non-abelian action on tours},
author = {Zhenqi Jenny Wang},
journal= {arXiv preprint arXiv:1405.7737},
year = {2014}
}