Affine flows on 3-manifolds
Author(s)
Bibliographic Information
Affine flows on 3-manifolds
（Memoirs of the American Mathematical Society, no. 771）
American Mathematical Society, 2003
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Note
Includes bibliographical references (p. 93-94)
"March 2003, volume 162, number 771 (third of 5 numbers)"
Description and Table of Contents
Description
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: Flows whose developing maps are $\mathbb{R}$-bundle maps over $\mathbb{R}^2$; Flows whose holonomy groups are contained in $SL(2,\mathbb{R}$; and Flows with homotopy lifting property whose holonomy groups are contained in $SL(2,\mathbb{R})\ltimes \mathbb{R}$.
Table of Contents
Introduction Complete affine flows Luxuriant foliations SL-flows SA-flows Bibliography.
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