Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds

被引：0
|
作者：
Damjanovic, Danijela [1 ]
Tanis, James [2 ]
机构：
[1] Kungliga Tekn Hogskolan, Dept Math, Lindstedtsvagen 25, S-10044 Stockholm, Sweden
[2] MITRE Corp, Mclean, VA 22102 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2022年 / 42卷 / 10期
基金：
瑞典研究理事会;
关键词：
local rigity; abelian actions; Heisenberg nilmanifolds; COCYCLE RIGIDITY; COHOMOLOGICAL EQUATION; PARABOLIC ACTIONS; ACTIONS I; EQUIDISTRIBUTION;
D O I：
10.1017/etds.2021.79
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove a perturbative result for a class of 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.
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页码：3111 / 3151
页数：41
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