Jiang, Boju and Ni, Yi and Wang, Shicheng (2004) 3-manifolds that admit knotted solenoids as attractors. Transactions of the American Mathematical Society, 356 (11). pp. 4371-4382. ISSN 0002-9947. https://resolver.caltech.edu/CaltechAUTHORS:20150421-115923758
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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.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2004 American Mathematical Society. Received by the editors February 20, 2003 and, in revised form, April 18, 2003. This work was partially supported by a MOSTC grant and a MOEC grant. We would like to thank the referee for his suggestions which enhanced the paper. We also thank Professors H. Duan, S. Gan and L. Wen for helpful conversations. | |||||||||
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| Subject Keywords: | 3-manifolds, homeomorphisms, attractors, solenoids, lens spaces | |||||||||
| Issue or Number: | 11 | |||||||||
| Classification Code: | 2000 Mathematics Subject Classification. Primary 57N10, 58K05, 37E99, 37D45 | |||||||||
| Record Number: | CaltechAUTHORS:20150421-115923758 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150421-115923758 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 56832 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 21 Apr 2015 19:38 | |||||||||
| Last Modified: | 03 Oct 2019 08:17 |
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