Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting
Dynamical Systems
2011-06-21 v1 Mathematical Physics
math.MP
Abstract
We introduce a new notion called generalized dominated splitting which is weaker than classical dominated splitting. We use this notion to generalize a result of Zhang\cite{Zh}: every diffeomorphism with nontrivial global generalized dominated splitting can not be minimal.
Cite
@article{arxiv.1106.3737,
title = {Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting},
author = {Xueting Tian},
journal= {arXiv preprint arXiv:1106.3737},
year = {2011}
}
Comments
9pages, 1 figures