Partially hyperbolic surface endomorphisms
| Autor: | Layne Hall, Andy Hammerlindl |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Class (set theory)
Pure mathematics Endomorphism Mathematics::Dynamical Systems Mathematics::Operator Algebras Applied Mathematics General Mathematics Mathematics::Rings and Algebras Dynamical Systems (math.DS) Surface (topology) Foliation 37C05 37D30 57R30 FOS: Mathematics Mathematics - Dynamical Systems Mathematics |
| DOI: | 10.48550/arxiv.1811.08977 |
| Popis: | We prove that a class of weakly partially hyperbolic endomorphisms on $\mathbb{T}^2$ are dynamically coherent and leaf conjugate to linear toral endomorphisms. Moreover, we give an example of a partially hyperbolic endomorphism on $\mathbb{T}^2$ which does not admit a centre foliation. Comment: 13 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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