**Memoirs of the American Mathematical Society**

2003;
94 pp;
Softcover

MSC: Primary 57; 53; 37;

Print ISBN: 978-0-8218-3257-8

Product Code: MEMO/162/771

List Price: $60.00

AMS Member Price: $36.00

MAA Member Price: $54.00

**Electronic ISBN: 978-1-4704-0369-0
Product Code: MEMO/162/771.E**

List Price: $60.00

AMS Member Price: $36.00

MAA Member Price: $54.00

# Affine Flows on 3-Manifolds

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*Shigenori Matsumoto*

In this paper, we consider nonsingular flows on closed 3-manifolds 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 \(SL(2,\mathbb{R})\ltimes \mathbb{R}\).

#### Readership

Graduate students and research mathematicians interested in geometry and topology.