Flow-Spines and Seifert Fibred Structure of 3-Manifolds
Flow-Spines and Seifert Fibred Structure of 3-Manifolds
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3-流形的流脊柱和 Seifert 纤维结构
DOI：
10.3836/tjm/1270134264
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发表时间：
1988
影响因子：
0.6
通讯作者：
I. Ishii
中科院分区：
文献类型：
--
作者：
I. Ishii
2010年引入了封闭3管汇流脊的概念。本文给出了由流脊表示的$M$是Seifert纤维的一个充分条件（定理1）。在s3中，轨道流形和特殊纤维完全由流脊诱导的ds图决定。我们在S 4中给出一个例子。在第五章中，我们研究了由ds图确定的Seifert纤维子流形和嵌入环面。
The concept of a flow-spine of a closed 3-manifold $M$ was introduced in [5]. In this paper, we shall give a sufficient condition for $M$ represented by a flow-spine to be Seifert fibred (Theorem 1 in \S 2). In \S 3 the orbit manifold and exceptional fibres are completely determined by a DS-diagram which is induced by a flow-spine. We give an example in \S 4. And in \S 5, we study Seifert fibred submanifolds and embedded tori determined by a DS-diagram.