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Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds
Published online by Cambridge University Press: 04 August 2021
Abstract
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.
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- © The MITRE Corporation, 2021. Published by Cambridge University Press