| 非紧对称空间中子流形焦点和形算子间的关系 |
| |
| 引用本文： | 李光汉,吴传喜.非紧对称空间中子流形焦点和形算子间的关系[J].数学物理学报(A辑),1999,19(4):387-396. |
| |
| 作者姓名： | 李光汉 吴传喜 |
| |
| 作者单位： | 湖北大学数学系!武汉４３００６２ |
| |
| 基金项目： | 国家自然科学基金，武汉市晨光计划资助项目 |
| |
| 摘 要： | 首先详细地讨论了非紧Ｌｉｅ群的度量和Ｃａｒｔａｎ分解，然后由Ｌｉｅ群和对称空间的关系得到了非紧对称空间中的子流形焦点存在的充要条件，同时还给出了焦点重数的计算方法．
|
| 关 键 词： | 非紧对称空间 子流形 焦点 形算子 abelian法丛 |
Relations Between Focal Points and Shape Operators of Submanifolds in Non-Compact Symmetric Spaces |
| |
| Li Guanghan.Relations Between Focal Points and Shape Operators of Submanifolds in Non-Compact Symmetric Spaces[J].Acta Mathematica Scientia,1999,19(4):387-396. |
| |
| Authors: | Li Guanghan |
| |
| Abstract: | Let G be a non-compact Lie group, and its Lie algebra. The structures of Liegroup G and its Lie algebra $are carefully studied, and the metric and Cartan decomposition of G and are given. From the relation between Lie group and symmetric space, andimportant necesary and sufficient condition for existence of focal points of a submanifold ina non--compact symmetric space is obtained. At the same time, a computational method forthe multiplicity of a focal point is also obtained. |
| |
| Keywords: | Non-compact symmetric space Submanifolds Focal point Shape operator Abelian normal bundle |
| 本文献已被 CNKI 维普 等数据库收录！ |
