Electronic ISBN:  9781470403690 
Product Code:  MEMO/162/771.E 
94 pp 
List Price:  $60.00 
MAA Member Price:  $54.00 
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 162; 2003MSC: Primary 57; 53; 37;
In this paper, we consider nonsingular flows on closed 3manifolds which are transversely modeled on the real affine geometry of the plane. We obtain classification results for the following three types of flows. (1) Flows whose developing maps are \(\mathbb{R}\)bundle maps over \(\mathbb{R}^2\). (2) Flows whose holonomy groups are contained in \(SL(2,\mathbb{R})\). (3) Flows with homotopy lifting property whose holonomy groups are contained in \(SL(2,\mathbb{R})\ltimes \mathbb{R}\).
ReadershipGraduate students and research mathematicians interested in geometry and topology.

Table of Contents

Chapters

1. Introduction

2. Complete affine flows

3. Luxuriant foliations

4. SLflows

5. SAflows


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In this paper, we consider nonsingular flows on closed 3manifolds which are transversely modeled on the real affine geometry of the plane. We obtain classification results for the following three types of flows. (1) Flows whose developing maps are \(\mathbb{R}\)bundle maps over \(\mathbb{R}^2\). (2) Flows whose holonomy groups are contained in \(SL(2,\mathbb{R})\). (3) Flows with homotopy lifting property whose holonomy groups are contained in \(SL(2,\mathbb{R})\ltimes \mathbb{R}\).
Graduate students and research mathematicians interested in geometry and topology.

Chapters

1. Introduction

2. Complete affine flows

3. Luxuriant foliations

4. SLflows

5. SAflows