Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660140 | Topology and its Applications | 2009 | 8 Pages |
Abstract
In this paper, we discuss how to realize Lorenz like Smale flows (LLSF) on 3-manifolds. It is an extension of M. Sullivan's work about Lorenz Smale flows on S3. We focus on two questions: (1) Classify the topological conjugate classes of LLSF which can be realized on S3; (2) Which 3-manifolds admit LLSF? If some 3-manifold admits LLSF, how does it admit LLSF? This paper is in some sense parallel to the work of J. Morgan and M. Wada on Morse–Smale flows on 3-manifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology