| Title:
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AFFINE FLOWS ON 3-MANIFOLDS
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| By: |
Shigenori Matsumoto |
| Format: |
Paperback |
| List price:
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£59.50 |
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| ISBN 10: |
0821832573 |
| ISBN 13: |
9780821832578 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 February, 2003 |
| Series: |
Memoirs of the American Mathematical Society v. 162 |
| Pages: |
94 |
| Description: |
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. |
| Synopsis: |
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 $SL(2,\mathbb{R})\ltimes \mathbb{R}$. |
| Illustrations: |
bibliography |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |