Smale Flows on Three Dimensional Manifolds
type: CreativeWork
description: We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on S 3 ? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on S 3 ? This dissertation extends the work of M. Sullivan and B. Yu.
abstract: We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on S 3 ? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on S 3 ? This dissertation extends the work of M. Sullivan and B. Yu.
author: Haynes, Elizabeth Lydia
keywords: 3-manifolds, Smale Flows, templates
date published: 2012-05-01T07:00:00Z
date modified: 2026-07-24T04:33:54Z
provider: Southern Illinois University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Southern Illinois University