3-manifolds that admit knotted solenoids as attractors
Geometric Topology
2007-05-23 v1 Dynamical Systems
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.
Cite
@article{arxiv.math/0403427,
title = {3-manifolds that admit knotted solenoids as attractors},
author = {Boju Jiang and Yi Ni and Shicheng Wang},
journal= {arXiv preprint arXiv:math/0403427},
year = {2007}
}
Comments
16 pages, 8 figures