5 citations · 6 across the 4 of their papers we have counts for
5 papers
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…
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…
Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms
Danijela Damjanovic, Amie Wilkinson, Disheng Xu
We discover a rigidity phenomenon within the volume-preserving partially hyperbolic diffeomorphisms with -dimensional center. In particular, for smooth, ergodic perturbations of…
On conservative partially hyperbolic abelian actions with compact center foliation
Danijela Damjanovic, Disheng Xu
We consider smooth partially hyperbolic volume preserving Z^k actions on smooth manifolds, with uniformly compact center foliation. We show that under certain irreducibility condit…
Diffeomorphism group valued cocycles over higher rank abelian Anosov actions
Danijela Damjanovic, Disheng Xu
We prove that every smooth diffeomorphism group valued cocycle over certain abelian Anosov actions on tori (and more generally on infranilmanifolds), is a smooth coboundary on a fi…