3-manifolds that admit knotted solenoids as attractors

Boju Jiang; Yi Ni; Shicheng Wang

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3-manifolds that admit knotted solenoids as attractors

Boju Jiang·Yi Ni·Shicheng Wang

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Abstract

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.

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BibTeX RIS

Boju Jiang, Yi Ni, Shicheng Wang. 2004-03-25. 3-manifolds that admit knotted solenoids as attractors. https://arxiv.org/abs/math/0403427

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