Tootfinder

This https://arxiv.org/abs/2401.00654 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Global rigidity for some partially hyperbolic abelian actions with 1-dimensional center
We obtain a global rigidity result for abelian partially hyperbolic higher rank actions on certain $2-$step nilmanifolds $X_Γ$. We show that, under certain natural assumptions, all such actions are $C^{\infty}-$conjugated to an affine model. As a consequence, we obtain a centralizer rigidity result, classifying all possible centralizers for any $C^{1}-$small perturbation of an irreducible, affine partially hyperbolic map on $X_Γ$. Along the way, we also prove two results of independent intere…

This https://arxiv.org/abs/2401.00654 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Global rigidity for some partially hyperbolic abelian actions with 1-dimensional center
We obtain a global rigidity result for abelian partially hyperbolic higher rank actions on certain $2-$step nilmanifolds $X_Γ$. We show that, under certain natural assumptions, all such actions are $C^{\infty}-$conjugated to an affine model. As a consequence, we obtain a centralizer rigidity result, classifying all possible centralizers for any $C^{1}-$small perturbation of an irreducible, affine partially hyperbolic map on $X_Γ$. Along the way, we also prove two results of independent intere…