极小子流形的相关研究

Correlation Research on Minimal Submanifolds

本文主要涉及极小子流形的相关研究。通过对子流形结构的深入了解,本文使用calibrated几何中提出的calibration,来得到极小子流形。进一步,以Rk+h中的极小锥面为例,可以得到欧氏空间中的极小超曲面。

This paper mainly studies the theory of minimal submanifolds. By means of the structure of submanifolds, it uses calibration in calibrated geometry to get the minimal submanifolds. In addition, by taking the minimal conical surface in R^k＊h as an example, it gets the minimal hypersurface in Euclidean Space.