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math.DS2014★ 1 cited
Local rigidity of higher rank non-abelian action on tours
Zhenqi Jenny Wang
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 ?…
math.DS2014★ 2 cited
Some ergodic and rigidity properties of discrete Heisenberg group actions
Huyi Hu, Enhui Shi, Zhenqi Jenny Wang
The goal of this paper is to study ergodic and rigidity properties of smooth actions of the discrete Heisenberg group $\H$. We establish the decomposition of the tangent space of a…