Center-unstable foliations do not have compact leaves
Dynamical Systems
2015-02-03 v1
Abstract
For a partiallyhyperbolic diffeomorphism on a 3-manifold, we show that any invariant foliation tangent to the center-unstable (or center-stable) bundle has no compact leaves.
Cite
@article{arxiv.1502.00125,
title = {Center-unstable foliations do not have compact leaves},
author = {Federico Rodriguez Hertz and Jana Rodriguez Hertz and Raul Ures},
journal= {arXiv preprint arXiv:1502.00125},
year = {2015}
}