论文标题
离散的阿贝尔行动对海森伯格·尼尔曼福德（Heisenberg Nilmanifolds）的横向局部刚性
Transversal local rigidity of discrete Abelian actions on Heisenberg nilmanifolds
论文作者
论文摘要
在本文中，我们证明了对具有Diophantine属性的Heisenberg Nilmanifolds上的$ \ Mathbb z^2 $动作的扰动结果。在此过程中，我们证明了共同体的刚性，并获得了同胞在平滑矢量场中的系数进行此类作用的驯服分裂。
In this paper we prove a perturbative result for a class of $\mathbb Z^2$ actions on Heisenberg nilmanifolds, which 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.
