3-manifolds that admit knotted solenoids as attractors
3-manifolds that admit knotted solenoids as attractors
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DOI：
10.1090/s0002-9947-04-03503-2
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发表时间：
2004-02
影响因子：
1.3
通讯作者：
Boju Jiang;Yi Ni;Shicheng Wang
中科院分区：
文献类型：
--
作者：
Boju Jiang;Yi Ni;Shicheng Wang
受Morse理论的研究和斯梅尔在动力学方面的工作的启发，本文研究并回答了以下问题：(1)三维流形何时接纳以带结的斯梅尔螺线管为吸引子的自同构？(2)三维流形何时接纳其非游荡集由斯梅尔螺线管组成的自同构？这一结果给出了一类3-流形的内蕴对称性。
Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a knotted Smale solenoid as an attractor? (2) When does a 3-manifold admit an automorphism whose non-wandering set consists of Smale solenoids? The result presents some intrinsic symmetries for a class of 3-manifolds.