Memoirs of the American Mathematical Society 2003; 94 pp; softcover Volume: 162 ISBN10: 0821832573 ISBN13: 9780821832578 List Price: US$60 Individual Members: US$36 Institutional Members: US$48 Order Code: MEMO/162/771
 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 \(SL(2,\mathbb{R})\ltimes \mathbb{R}\). Readership Graduate students and research mathematicians interested in geometry and topology. Table of Contents  Introduction
 Complete affine flows
 Luxuriant foliations
 SLflows
 SAflows
 Bibliography
