Reeb orbits trapped by Denjoy minimal sets |
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Authors: | Takahiro Arai Takashi Inaba Yosuke Kano |
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Institution: | 1. Department of Mathematics and Informatics, Graduate School of Science, Chiba University, Chiba, 263-8522, Japan
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Abstract: | Let φ be any flow on T n obtained as the suspension of a smooth diffeomorphism of \({T^{n-1}}\) , and let \({\mathcal {A}}\) be any compact invariant set of φ. We realize \({(\mathcal{A}, \varphi|_{\mathcal{A}})}\) up to reparametrization as an invariant set of the Reeb flow of a contact form on \({\mathbb{R}^{2n+1}}\) equal to the standard contact form outside a compact set and defining the standard contact structure on all of \({\mathbb{R}^{2n+1}}\) . This uses the method from Geiges, Röttgen, and Zehmisch. |
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