Absolutely partially hyperbolic surface endomorphisms are dynamically coherent
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866914224954933248 |
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| author | Andersson, M. Ranter, W. |
| author_facet | Andersson, M. Ranter, W. |
| contents | We show that if an endomorphism $f:\mathbb{T}^2 \to \mathbb{T}^2$ is absolutely partially hyperbolic, then it has a center foliation. Moreover, the center foliation is leaf conjugate to that of its linearization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23831 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Absolutely partially hyperbolic surface endomorphisms are dynamically coherent Andersson, M. Ranter, W. Dynamical Systems Geometric Topology We show that if an endomorphism $f:\mathbb{T}^2 \to \mathbb{T}^2$ is absolutely partially hyperbolic, then it has a center foliation. Moreover, the center foliation is leaf conjugate to that of its linearization. |
| title | Absolutely partially hyperbolic surface endomorphisms are dynamically coherent |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2512.23831 |