靶流形为球面子流形的调和映射的量子化现象

摘要

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.%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.