当前位置: X-MOL 学术Ergod. Theory Dyn. Syst. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds
Ergodic Theory and Dynamical Systems ( IF 0.8 ) Pub Date : 2021-08-04 , DOI: 10.1017/etds.2021.79
DANIJELA DAMJANOVIĆ 1 , JAMES TANIS 2
Affiliation  

In this paper we prove a perturbative result for a class of ${\mathbb Z}^2$ actions on Heisenberg nilmanifolds that have Diophantine properties. Along the way we prove cohomological rigidity and obtain a tame splitting for the cohomology with coefficients in smooth vector fields for such actions.



中文翻译:

海森堡非线性流形上离散阿贝尔作用的横向局部刚性

在本文中,我们证明了对具有丢番图性质的海森堡尼氏流形上的一类 ${\mathbb Z}^2$ 动作的扰动结果。在此过程中,我们证明了上同调刚性,并为此类动作的平滑向量场中的系数获得了上同调的温和分裂。

更新日期:2021-08-04
down
wechat
bug