3-球面上2-圆盘和Reeb流的伪旋转
Pseudorotations of the 2-disc and Reeb flows on the 3-sphere
摘要：
本文利用Lerman的切割构造，得到了紧致曲面的Hamilton非纯同态作为整体截面曲面上的Poincaré返回映射嵌入到闭3-流形中的一个充分条件.特别地，我们证明了由Fayad-Katok构造的2-圆盘的无理伪旋转嵌入到3-球面上的动态凸接触形式的Reeb流中。
英文摘要：
We use Lerman's contact cut construction to find a sufficient condition for Hamiltonian diffeomorphisms of compact surfaces to embed into a closed 3-manifold as Poincaré return maps on a global surface of section for a Reeb flow. In particular, we show that the irrational pseudorotations of the 2-disc constructed by Fayad-Katok embed into the Reeb flow of a dynamically convex contact form on the 3-sphere.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
