Stably weakly shadowing symplectomorphisms are partially hyperbolic
Dynamical Systems
2014-07-02 v1
Abstract
Let M be a closed, symplectic connected Riemannian manifold, f a symplectomorphism on M. We prove that if f is C1-stably weakly shadowing on M, then the whole manifold M admits a partially hyperbolic splitting.
Cite
@article{arxiv.1203.5139,
title = {Stably weakly shadowing symplectomorphisms are partially hyperbolic},
author = {Mario Bessa and Sandra Vaz},
journal= {arXiv preprint arXiv:1203.5139},
year = {2014}
}
Comments
9 pages