%0 Journal Article
%T Reeb orbits trapped by Denjoy minimal sets
%A Takahiro Arai
%A Takashi Inaba
%A Yosuke Kano
%J Mathematics
%D 2014
%I arXiv
%X Let $\varphi$ be any flow on $T^n$ obtained as the suspension of a diffeomorphism of $T^{n-1}$ and let $\mathcal A$ be any compact invariant set of $\varphi$. 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 generalizes the construction of Geiges, R\"ottgen and Zehmisch.
%U http://arxiv.org/abs/1405.0654v2