Affine Flows on 3-Manifolds (Memoirs of the American Mathematical Society)

Affine Flows on 3-Manifolds (Memoirs of the American Mathematical Society)

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

Contents

Introduction Complete affine flows Luxuriant foliations SL-flows SA-flows Bibliography.

Product Details

  • ISBN13: 9780821832578
  • Format: Paperback
  • ID: 9780821832578
  • ISBN10: 0821832573

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