A diffeomorphism with global dominated splitting can not be minimal
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2010
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| _version_ | 1866914734449623040 |
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| author | Zhang, Pengfei |
| author_facet | Zhang, Pengfei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1011_2844 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | A diffeomorphism with global dominated splitting can not be minimal Zhang, Pengfei Dynamical Systems 37D30 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. |
| title | A diffeomorphism with global dominated splitting can not be minimal |
| topic | Dynamical Systems 37D30 |
| url | https://arxiv.org/abs/1011.2844 |