数学杂志2012,Vol.32Issue(3):423-430,8.
靶流形为球面子流形的调和映射的量子化现象
QUANTUM PHENOMENA OF HARMONIC MAPS TO SUBMANIFOLDS OF THE SPHERE
摘要
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.关键词
调和映射/特征值/第二基本形式Key words
harmonic map/ eigenvalue/ the second fundamental form分类
数理科学引用本文复制引用
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[J].数学杂志,2012,32(3):423-430,8.基金项目
Supported by National Natural Science Foundation of China (11171259). (11171259)