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Affine Flows on 3-Manifolds
 
Shigenori Matsumoto Nihon University, Tokyo, Japan
Front Cover for Affine Flows on 3-Manifolds
Available Formats:
Electronic ISBN: 978-1-4704-0369-0
Product Code: MEMO/162/771.E
94 pp 
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
Front Cover for Affine Flows on 3-Manifolds
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Affine Flows on 3-Manifolds
Shigenori Matsumoto Nihon University, Tokyo, Japan
Available Formats:
Electronic ISBN:  978-1-4704-0369-0
Product Code:  MEMO/162/771.E
94 pp 
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1622003
    MSC: Primary 57; 53; 37;

    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.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Complete affine flows
    • 3. Luxuriant foliations
    • 4. SL-flows
    • 5. SA-flows
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Volume: 1622003
MSC: Primary 57; 53; 37;

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.

  • Chapters
  • 1. Introduction
  • 2. Complete affine flows
  • 3. Luxuriant foliations
  • 4. SL-flows
  • 5. SA-flows
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