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math.DS2020
On globally hypoelliptic abelian actions and their existence on homogeneous spaces
Danijela Damjanovic, James Tanis, Zhenqi Wang
We define globally hypoelliptic smooth actions as actions whose leafwise Laplacian along the orbit foliation is a globally hypoelliptic differential operator. When $k…
math.DS2020
Transversal local rigidity of discrete Abelian actions on Heisenberg nilmanifolds
Danijela Damjanovic, James Tanis
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 cohomologica…