带边界四维流形中的二维子流形

数学季刊 ›› 1999, Vol. 14 ›› Issue (1): 82-87.

带边界四维流形中的二维子流形

Department of Mathematics，Beijing Normal University

收稿日期:1998-10-05 出版日期:1999-03-30 发布日期:2024-10-12
基金资助:
The authors are supported by NSF19771010 of China．

Two Dimensional Submanifolds in Four Manifolds with Boundary

Department of Mathematics，Beijing Normal University

Received:1998-10-05 Online:1999-03-30 Published:2024-10-12
Supported by:
The authors are supported by NSF19771010 of China．

摘要/Abstract

摘要： A fundamental problem in four dimensional differential topology is to find a surface with minimal genus which represents a given homology class. This problem was considered by many people for closed 4 manifolds. In this paper,we consider this problem for four manifold with boundary.

关键词: , 4-manifold with boundary；submanifold；normal Euler number

Abstract: A fundamental problem in four dimensional differential topology is to find a surface with minimal genus which represents a given homology class. This problem was considered by many people for closed 4 manifolds. In this paper,we consider this problem for four manifold with boundary.

Key words: , 4-manifold with boundary；submanifold；normal Euler number

中图分类号:

O175

高红铸, 于大哲 . 带边界四维流形中的二维子流形[J]. 数学季刊, 1999, 14(1): 82-87.

Gao Hongzhu, Yu Dazhe. Two Dimensional Submanifolds in Four Manifolds with Boundary[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(1): 82-87.

[1]	林娟, 王传荣. 开口弧上核密度属H*的Cauchy奇异积分的稳定性[J]. 数学季刊, 2010, 25(2): 220-227.
[2]	. [J]. 数学季刊, 2005, 20(3): 232-237.
[3]	孙清滢. 求解无约束非线性规划问题的一个新的重开始共轭梯度算法的收敛性[J]. 数学季刊, 2003, 18(2): 154-162.
[4]	程燕. 不动点定理在奇摄动非线性初值问题的套层解中的应用[J]. 数学季刊, 2003, 18(1): 103-107.
[5]	欧阳成, 韩祥临. 非线性方程奇摄动问题的激波解[J]. 数学季刊, 2002, 16(4): 27-33.
[6]	许勇, 石雄辉, 王顺利, 师义民. NA样本下截断型分布族参数的经验Bayes估计[J]. 数学季刊, 2002, 16(4): 43-47.
[7]	李登峰, 战阴伟 . 紧框架的一个注记[J]. 数学季刊, 2002, 16(4): 48-51.
[8]	冶成福, 张淑敏, 火博丰 . 与lK₁ ∪ (∪C_ui)的补图有相同色划分的图[J]. 数学季刊, 2002, 16(4): 52-56.
[9]	何楚宁 . 两类矩阵方程有亚半正定解的充要条件[J]. 数学季刊, 2002, 16(4): 62-68.
[10]	李林, 徐琛梅 . 一类非线性微分方程系统周期解的性[J]. 数学季刊, 2002, 16(4): 69-77.
[11]	杜炜 . 二阶非线性微分方程的振动性[J]. 数学季刊, 2002, 16(4): 87-93.
[12]	周桂云. 离散边值问题多重正解的存在性[J]. 数学季刊, 2002, 16(4): 99-104.
[13]	陈卫红, 曾洪杰. Galois环对Z_m环上一类逻辑函数的分析[J]. 数学季刊, 2002, 16(4): 105-110.
[14]	张福利 . 关于超半素环和超半素根的注记[J]. 数学季刊, 2002, 16(3): 105-106.
[15]	李东亚, 张诚一. 半环上Fuzzyk-理想的再定义[J]. 数学季刊, 2002, 16(3): 93-97.