| 靶流形为球面子流形的调和映射的量子化现象(英文) |
| |
| 引用本文： | 李良树,周振荣.靶流形为球面子流形的调和映射的量子化现象(英文)[J].数学杂志,2012,32(3):423-430. |
| |
| 作者姓名： | 李良树 周振荣 |
| |
| 作者单位： | 1. 武汉城市职业学院经济管理系,湖北武汉,430064
2. 华中师范大学数学与统计学学院,湖北武汉,430079 |
| |
| 基金项目： | Supported by National Natural Science Foundation of China(11171259) |
| |
| 摘 要： | 本文研究了调和映射和极小子流形的量子化性质.通过运用谱分解方法,获得了靶流形为球面子流形的调和映射的量子化性质,然后将其应用到球面的极小子流形的高斯映射,得到了极小子流形的第二基本形式的量子化性子.
|
| 关 键 词： | 调和映射 特征值 第二基本形式 |
QUANTUM PHENOMENA OF HARMONIC MAPS TO SUBMANIFOLDS OF THE SPHERE |
| |
| LI Liang-shu
,
ZHOU Zhen-rong.QUANTUM PHENOMENA OF HARMONIC MAPS TO SUBMANIFOLDS OF THE SPHERE[J].Journal of Mathematics,2012,32(3):423-430. |
| |
| Authors: | LI Liang-shu ZHOU Zhen-rong |
| |
| Institution: | 1.Department of Economic Management,Wuhan City Vocational College,Wuhan 430064,China)(2.School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China) |
| |
| Abstract: | In this paper,we study quantum properties of harmonic maps and minimal submanifolds.By spectral decomposition,we obtain quantum properties of harmonic maps into spheres,and then applying it to Gaussian maps of minimal submanifolds of spheres,we get quantum properties of the second fundamental form of the minimal submanifolds. |
| |
| Keywords: | harmonic map eigenvalue the second fundamental form |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
