Affine Flows on 3-Manifolds

Considers nonsingular flows on closed 3-manifolds which are transversely modeled on the real affine geometry of the plane. This book obtains classification results for three types of flows.

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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 $SL(2,/mathbb{R})/ltimes /mathbb{R}$.