Affine flows on 3-manifolds

被引：0
|
作者：
Matsumoto, S [1 ]
机构：
[1] Nihon Univ, Coll Sci & Technol, Dept Math, Tokyo 1018308, Japan
来源：
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 162卷 / 771期
关键词：
transversely affine flows; homotopy lifting property; luxuriant foliations; characteristic subgroups;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 R-bundle maps over R-2. (2) Flows whose holonomy groups are contained in SL(2, R). (3) Flows with homotopy lifting property whose holonomy groups are contained in SL(2, R) x R.
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页码：VI / +
页数：93
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