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Affine Flows on 3-Manifolds (Memoirs of the American Mathematical Society) by Shigenori Matsumoto is a nonfiction available to read on EtoBox.

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<p>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 $SL(2,\mathbb{R})\ltimes \mathbb{R}$.</p>

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Author

Shigenori Matsumoto

Publisher

American Mathematical Society

Published

2003

Language

EN

ISBN

9780821832578

Category

nonfiction

Subjects

Mathematics, Science, Stem