Some Remarks on Anosov Families
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866910948167516160 |
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| author | Acevedo, Jeovanny de Jesus Muentes Ribeiro, Raquel |
| author_facet | Acevedo, Jeovanny de Jesus Muentes Ribeiro, Raquel |
| contents | We study Anosov families which are sequences of diffeomorphisms along compact Riemannian manifolds such that the tangent bundle split into expanding and contracting subspaces. In this paper we prove that a certain class of Anosov families: (i) admit canonical coordinates (ii) are expansive, (iii) satisfy the shadowing property, and (iv) exhibit a Markov partition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_07424 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Some Remarks on Anosov Families Acevedo, Jeovanny de Jesus Muentes Ribeiro, Raquel Dynamical Systems 37C60, 37D20, We study Anosov families which are sequences of diffeomorphisms along compact Riemannian manifolds such that the tangent bundle split into expanding and contracting subspaces. In this paper we prove that a certain class of Anosov families: (i) admit canonical coordinates (ii) are expansive, (iii) satisfy the shadowing property, and (iv) exhibit a Markov partition. |
| title | Some Remarks on Anosov Families |
| topic | Dynamical Systems 37C60, 37D20, |
| url | https://arxiv.org/abs/2007.07424 |