数学物理学报 ›› 2012, Vol. 32 ›› Issue (6): 1110-1120.

• 论文 • 上一篇    下一篇

乘积流形三穿孔球面和中的本质闭曲面

王树新   

  1. 辽宁师范大学数学学院 大连 116029
  • 收稿日期:2011-01-10 修回日期:2012-05-24 出版日期:2012-12-25 发布日期:2012-12-25
  • 基金资助:

    国家自然科学基金(11071106)资助.

Essential Closed Surfaces in the Pants Sum of |Product I-bundle of Closed Surfaces

 WANG Shu-Xin   

  1. School of Mathematics, Liaoning Normal University, Dalian 116029
  • Received:2011-01-10 Revised:2012-05-24 Online:2012-12-25 Published:2012-12-25
  • Supported by:

    国家自然科学基金(11071106)资助.

摘要:

给出了乘积流形三穿孔球面和中本质闭曲面的完全分类和乘积流形三穿孔球面的Kneser--Haken数.

关键词: 曲面和, 乘积流形, 本质曲面, Kneser--Haken数

Abstract:

In this paper, we characterize essential closed surfaces in the pants sum of product I--bundle of closed surfaces, and give the Haken--Kneser number of the pants sum of product I--bundle of closed surfaces.

Key words: Surface sum, Product I--bundle, Essential surface, Kneser--Haken number

中图分类号: 

  • 57N10