A diffeomorphism with global dominated splitting can not be minimal
Dynamical Systems
2024-04-02 v1
Abstract
Let M be a closed manifold and f be a diffeomorphism on M. We show that if f has a nontrivial dominated splitting TM=E\oplus F, then f can not be minimal. The proof mainly use Mane's argument and Liao's selecting lemma.
Keywords
Cite
@article{arxiv.1011.2844,
title = {A diffeomorphism with global dominated splitting can not be minimal},
author = {Pengfei Zhang},
journal= {arXiv preprint arXiv:1011.2844},
year = {2024}
}
Comments
5 pages. An application of Liao's selecting lemma