Published November 2004
| Submitted + Published
Journal Article
Open
3-manifolds that admit knotted solenoids as attractors
- Creators
- Jiang, Boju
- Ni, Yi
- Wang, Shicheng
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.
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.Attached Files
Published - S0002-9947-04-03503-2.pdf
Submitted - 0403427v1.pdf
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Additional details
- Eprint ID
- 56832
- Resolver ID
- CaltechAUTHORS:20150421-115923758
- MOSTC
- MOEC
- Created
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2015-04-21Created from EPrint's datestamp field
- Updated
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2023-06-01Created from EPrint's last_modified field