Integrability of C^1 invariant splittings
Dynamical Systems
2015-04-02 v2
Abstract
We derive some new conditions for integrability of dynamically defined C^1 invariant splittings in arbitrary dimension and co-dimension. In particular we prove that every 2-dimensional C^1 invariant decomposition on a 3-dimensional manifold satisfying a volume domination condition is uniquely integrable. In the special case of volume preserving diffeomorphisms we show that standard dynamical domination is already sufficient to guarantee unique integrability.
Keywords
Cite
@article{arxiv.1408.6948,
title = {Integrability of C^1 invariant splittings},
author = {Stefano Luzzatto and Sina Tureli and Khadim War},
journal= {arXiv preprint arXiv:1408.6948},
year = {2015}
}
Comments
12 pages