Actions with globally hypoelliptic leafwise Laplacian and rigidity
Dynamical Systems
2013-07-23 v2
Abstract
We prove several results concerning smooth actions with the property that their leafwise Laplacian is globally hypoelliptic. Such actions are necessarily uniquely ergodic and minimal, and cohomology is often finite-dimensional, even trivial. Further we consider a class of examples of actions on 2-step nilmanifolds, which have globally hypoelliptic leafwise Laplacian, and we show transversal local rigidity under certain Diophantine conditions.
Cite
@article{arxiv.1307.3661,
title = {Actions with globally hypoelliptic leafwise Laplacian and rigidity},
author = {Danijela Damjanovic},
journal= {arXiv preprint arXiv:1307.3661},
year = {2013}
}