| 3-流形相对亏格的可加性 |
| |
| 引用本文： | 雷逢春,杨国俅.3-流形相对亏格的可加性[J].黑龙江大学自然科学学报,2008,25(6). |
| |
| 作者姓名： | 雷逢春 杨国俅 |
| |
| 作者单位： | 哈尔滨工业大学,数学系,哈尔滨,150001 |
| |
| 摘 要： | 设M为一个紧致连通可定向的3-流形, M=F1∪F2为 M的分支的无交并.M的一个Hee-gaard分解V1∪SV2称为是一个相对于(M;F1,F2)的Heegaard分解,若 _V1=F1且 _V2=F2.用g(M;F1,F2)来表示M的相对于(M;F1,F2)的所有Heegaard分解中的最小亏格,称之为M的相对于(M;F1,F2)的Heegaard亏格(或简称为M的相对亏格).证明了3-流形的相对亏格在连通和下是可加的.
|
| 关 键 词： | 3-流形 相对亏格 连通和 |
The additivity of the relative genus of 3 - manifolds |
| |
| Lei Fengchun,Yang Guoqiu.The additivity of the relative genus of 3 - manifolds[J].Journal of Natural Science of Heilongjiang University,2008,25(6). |
| |
| Authors: | Lei Fengchun Yang Guoqiu |
| |
| Abstract: | Let M be a compact connected orientable 3 - manifold, and M = F1∪F2 a disjoint union of components of M. A Heegaard splitting V1∪SV2 of M is called a relative Heegaard splitting for (M;F1,F2) if _ V1= F2 and _ V2 = F2. By g(M;F1,F2) denote the relative Heegaard genus of M, which is equal to the minimal genus of all relative Heegaard splittings for (M;F1, F2). The obtained main result is that the relative genus of 3 - manifolds are additive under connected sum. |
| |
| Keywords: | 3 - manifolds relative genus connected sum |
| 本文献已被 万方数据 等数据库收录！ |
|
