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Local rigidity of higher rank non-abelian action on tours

Published 29 May 2014 in math.DS | (1405.7737v1)

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.

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Authors (1)

  1. Zhenqi Jenny Wang 

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