Transversal local rigidity of discrete Abelian actions on Heisenberg nilmanifolds
Dynamical Systems
2020-03-03 v1
Abstract
In this paper we prove a perturbative result for a class of 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.
Keywords
Cite
@article{arxiv.2003.00338,
title = {Transversal local rigidity of discrete Abelian actions on Heisenberg nilmanifolds},
author = {Danijela Damjanovic and James Tanis},
journal= {arXiv preprint arXiv:2003.00338},
year = {2020}
}
Comments
39 pages