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Item Details
Title: AFFINE FLOWS ON 3-MANIFOLDS
By: Shigenori Matsumoto
Format: Paperback

List price: £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

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