节点文献
模丛上的嵌入子丛
The Embedded Subbundles over Module Bundles
【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.
【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.
【关键词】 纤维丛;
模丛;
浸入子丛;
嵌入子丛;
【Key words】 Fibre bundles; Module bundles; Immersed subbundles; Embedded subbundles;
【Key words】 Fibre bundles; Module bundles; Immersed subbundles; Embedded subbundles;
【基金】 国家自然科学基金(10571115)资助
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2009年01期
- 【分类号】O189.34
- 【被引频次】1
- 【下载频次】39