模丛上的嵌入子丛

数学物理学报

模丛上的嵌入子丛

^1,2张飞军; ²李开泰

(1.陕西师范大学数学与信息科学学院陕西西安 710062; 2.西安交通大学理学院陕西西安 710049)

收稿日期:2006-11-15 修回日期:2008-04-25 出版日期:2009-02-25 发布日期:2009-02-25
通讯作者: 张飞军
基金资助:
国家自然科学基金（10571115）资助.

The Embedded Subbundles over Module Bundles

^1,2Zhang Feijun; ²Li Kaitai

(1.College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi Xi’an 710062; 2.School of Science, Xi’an Jiaotong University, Shaanxi Xi’an 710049)

Received:2006-11-15 Revised:2008-04-25 Online:2009-02-25 Published:2009-02-25
Contact: Zhang Feijun

摘要/Abstract

摘要： 利用模丛之间的嵌入关系,构造出了自由丛的嵌入子丛和任一模丛的嵌入子自由丛. 得到一般模丛都能够成为一个自由丛的嵌入子丛; 同时任一模丛也能够有一自由丛(或投射丛)是它的嵌入子丛; 还给出了投射丛转化为自由丛的条件.

关键词: 纤维丛, 模丛, 浸入子丛, 嵌入子丛.

Abstract: To construct the embedded subbundles of free bundles and the embedded free subbundles of any module bundles, by using embedded relation of module bundles. It is indicated that any module bundles can becomes a embedded subbundles of free bundles,and that there is a free bundles (or projective bundles) is a embedded subbundles of any module bundles also. In particular, the condition which projective bundles change into free bundles is given.

Key words: Fibre bundles, Module bundles, Immersed subbundles, Embedded subbundles.

张飞军; 李开泰.

模丛上的嵌入子丛

[J]. 数学物理学报, 2009, 29(1): 151-157.

Zhang Feijun; Li Kaitai. The Embedded Subbundles over Module Bundles[J]. Acta mathematica scientia,Series A, 2009, 29(1): 151-157.